frac{(frac{3^{7}*3^{-4}*2^{2}}{3^{4}*2^{-2}*4^{2}})div(3/4*(frac{2/3)^{2}*2/6}{frac{3^{2}}{4}*frac{2^{3}}{2}*frac{2^{3}}{3}})}{(frac{3^{4}*27*64}{2^6*3^-2*3^3*2^6})} ઉકેલો

$$\frac { ( \frac { 3 ^ { 7 } \cdot 3 ^ { - 4 } \cdot 2 ^ { 2 } } { 3 ^ { 4 } \cdot 2 ^ { - 2 } \cdot 4 ^ { 2 } } ) \div ( \frac { \frac { 3 } { 4 } \cdot ( \frac { 2 } { 3 } ) ^ { 2 } \cdot \frac { 2 } { 6 } } { \frac { 3 ^ { 2 } } { 4 } \cdot \frac { 2 ^ { 3 } } { 2 } \cdot \frac { 2 ^ { 3 } } { 3 } } ) } { ( \frac { 3 ^ { 4 } \cdot 27 \cdot 64 } { 2 ^ { 6 \cdot 3 ^ { - 2 } \cdot 3 ^ { 3 } \cdot 2 ^ { 6 } } } ) }$$

મૂલ્યાંકન કરો

$$\frac{7646540936605883684004049214900715851141976717930099881274424696364962224511494790223357992269746474039480563359188630818057376044379518831291702111276328210758059121435077756638722899626994299951506601517728490261014722259354212323631016519537502855612480246234345483953100325439456499764130713571240904682818279146104317908084764801177130893312}{243}\approx 3.146724665 \cdot 10^{343}$$

નિવારણ પગલા

સમાન આધારના ઘાતોનો ગુણાકાર કરવા માટે, તેમના ઘાતાંકો ઍડ કરો. 3 મેળવવા માટે 7 અને -4 ઍડ કરો.

$$\frac{\frac{\frac{3^{3}\times 2^{2}}{3^{4}\times 2^{-2}\times 4^{2}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times \frac{2^{3}}{2}\times \frac{2^{3}}{3}}}}{\frac{3^{4}\times 27\times 64}{2^{6\times 3^{-2}\times 3^{3}\times 2^{6}}}}$$

સમાન આધારના ઘાતનો ભાગાકાર કરવા, છેદના ઘાતાંકને અંશના ઘાતાંકમાંથી બાદ કરો. 2 મેળવવા માટે 3 માંથી 1 બાદ કરો.

$$\frac{\frac{\frac{3^{3}\times 2^{2}}{3^{4}\times 2^{-2}\times 4^{2}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}}}{\frac{3^{4}\times 27\times 64}{2^{6\times 3^{-2}\times 3^{3}\times 2^{6}}}}$$

સમાન આધારના ઘાતોનો ગુણાકાર કરવા માટે, તેમના ઘાતાંકો ઍડ કરો. 1 મેળવવા માટે -2 અને 3 ઍડ કરો.

$$\frac{\frac{\frac{3^{3}\times 2^{2}}{3^{4}\times 2^{-2}\times 4^{2}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}}}{\frac{3^{4}\times 27\times 64}{2^{6\times 3^{1}\times 2^{6}}}}$$

\frac{\frac{3^{3}\times 2^{2}}{3^{4}\times 2^{-2}\times 4^{2}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}} ને \frac{3^{4}\times 27\times 64}{2^{6\times 3^{1}\times 2^{6}}} ના વ્યુત્ક્રમ સાથે ગુણાકાર કરવાથી \frac{\frac{3^{3}\times 2^{2}}{3^{4}\times 2^{-2}\times 4^{2}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}} નો \frac{3^{4}\times 27\times 64}{2^{6\times 3^{1}\times 2^{6}}} થી ભાગાકાર કરો.

$$\frac{\frac{3^{3}\times 2^{2}}{3^{4}\times 2^{-2}\times 4^{2}}\times 2^{6\times 3^{1}\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

3^{3} ને બન્ને ગુણક અને ભાજકમાં વિભાજિત કરો.

$$\frac{\frac{2^{2}}{3\times 2^{-2}\times 4^{2}}\times 2^{6\times 3^{1}\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

સમાન આધારના ઘાતનો ભાગાકાર કરવા, છેદના ઘાતાંકને અંશના ઘાતાંકમાંથી ઘટાડો.

$$\frac{\frac{2^{4}}{3\times 4^{2}}\times 2^{6\times 3^{1}\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

4 ના 2 ની ગણના કરો અને 16 મેળવો.

$$\frac{\frac{16}{3\times 4^{2}}\times 2^{6\times 3^{1}\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

2 ના 4 ની ગણના કરો અને 16 મેળવો.

$$\frac{\frac{16}{3\times 16}\times 2^{6\times 3^{1}\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

48 મેળવવા માટે 3 સાથે 16 નો ગુણાકાર કરો.

$$\frac{\frac{16}{48}\times 2^{6\times 3^{1}\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

16 બહાર કાઢીને અને રદ કરીને ન્યૂનતમ ટર્મ્સ પર અપૂર્ણાંક \frac{16}{48} ને ઘટાડો.

$$\frac{\frac{1}{3}\times 2^{6\times 3^{1}\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

1 ના 3 ની ગણના કરો અને 3 મેળવો.

$$\frac{\frac{1}{3}\times 2^{6\times 3\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

18 મેળવવા માટે 6 સાથે 3 નો ગુણાકાર કરો.

$$\frac{\frac{1}{3}\times 2^{18\times 2^{6}}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

6 ના 2 ની ગણના કરો અને 64 મેળવો.

$$\frac{\frac{1}{3}\times 2^{18\times 64}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

1152 મેળવવા માટે 18 સાથે 64 નો ગુણાકાર કરો.

$$\frac{\frac{1}{3}\times 2^{1152}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

1152 ના 2 ની ગણના કરો અને 61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496 મેળવો.

$$\frac{\frac{1}{3}\times 61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3} મેળવવા માટે \frac{1}{3} સાથે 61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496 નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{3}{4}\times \left(\frac{2}{3}\right)^{2}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

2 ના \frac{2}{3} ની ગણના કરો અને \frac{4}{9} મેળવો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{3}{4}\times \frac{4}{9}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

\frac{1}{3} મેળવવા માટે \frac{3}{4} સાથે \frac{4}{9} નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{3}\times \frac{2}{6}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

2 બહાર કાઢીને અને રદ કરીને ન્યૂનતમ ટર્મ્સ પર અપૂર્ણાંક \frac{2}{6} ને ઘટાડો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{3}\times \frac{1}{3}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

\frac{1}{9} મેળવવા માટે \frac{1}{3} સાથે \frac{1}{3} નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{9}}{\frac{3^{2}}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

2 ના 3 ની ગણના કરો અને 9 મેળવો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{9}}{\frac{9}{4}\times 2^{2}\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

2 ના 2 ની ગણના કરો અને 4 મેળવો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{9}}{\frac{9}{4}\times 4\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

9 મેળવવા માટે \frac{9}{4} સાથે 4 નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{9}}{9\times \frac{2^{3}}{3}}\times 3^{4}\times 27\times 64}$$

3 ના 2 ની ગણના કરો અને 8 મેળવો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{9}}{9\times \frac{8}{3}}\times 3^{4}\times 27\times 64}$$

24 મેળવવા માટે 9 સાથે \frac{8}{3} નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{\frac{1}{9}}{24}\times 3^{4}\times 27\times 64}$$

\frac{\frac{1}{9}}{24} ને એકલ અપૂર્ણાંક તરીકે દર્શાવો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{1}{9\times 24}\times 3^{4}\times 27\times 64}$$

216 મેળવવા માટે 9 સાથે 24 નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{1}{216}\times 3^{4}\times 27\times 64}$$

4 ના 3 ની ગણના કરો અને 81 મેળવો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{1}{216}\times 81\times 27\times 64}$$

\frac{3}{8} મેળવવા માટે \frac{1}{216} સાથે 81 નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{3}{8}\times 27\times 64}$$

\frac{81}{8} મેળવવા માટે \frac{3}{8} સાથે 27 નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{\frac{81}{8}\times 64}$$

648 મેળવવા માટે \frac{81}{8} સાથે 64 નો ગુણાકાર કરો.

$$\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{648}$$

\frac{\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3}}{648} ને એકલ અપૂર્ણાંક તરીકે દર્શાવો.

$$\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{3\times 648}$$

1944 મેળવવા માટે 3 સાથે 648 નો ગુણાકાર કરો.

$$\frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{1944}$$

8 બહાર કાઢીને અને રદ કરીને ન્યૂનતમ ટર્મ્સ પર અપૂર્ણાંક \frac{61172327492847069472032393719205726809135813743440799050195397570919697796091958321786863938157971792315844506873509046544459008355036150650333616890210625686064472971480622053109783197015954399612052812141827922088117778074833698589048132156300022844899841969874763871624802603515651998113045708569927237462546233168834543264678118409417047146496}{1944} ને ઘટાડો.

$$\frac{7646540936605883684004049214900715851141976717930099881274424696364962224511494790223357992269746474039480563359188630818057376044379518831291702111276328210758059121435077756638722899626994299951506601517728490261014722259354212323631016519537502855612480246234345483953100325439456499764130713571240904682818279146104317908084764801177130893312}{243}$$

અવયવ

$$\frac{2 ^ {1149}}{3 ^ {5}} = ∞\frac{NaN}{243} = ∞$$