[(27^{17}+3^{51}-5^{34}+25^17):(-5^49)+(-625^32):(-125)^42]*(-7) Denklemini Çözme

$$[ ( 27 ^ { 17 } + 3 ^ { 51 } - 5 ^ { 34 } + 25 ^ { 17 } ) : ( - 5 ^ { 49 } ) + ( - 625 ^ { 32 } ) : ( - 125 ) ^ { 42 } ] \cdot ( - 7 )$$

Hesapla

$$\frac{3108624468980590028669226479382647333}{17763568394002504646778106689453125}=175,000000002$$

Çözüm Adımları

17 sayısının 27 kuvvetini hesaplayarak 2153693963075557766310747 sonucunu bulun.

$$\left(\frac{2153693963075557766310747+3^{51}-5^{34}+25^{17}}{-5^{49}}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

51 sayısının 3 kuvvetini hesaplayarak 2153693963075557766310747 sonucunu bulun.

$$\left(\frac{2153693963075557766310747+2153693963075557766310747-5^{34}+25^{17}}{-5^{49}}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

2153693963075557766310747 ve 2153693963075557766310747 sayılarını toplayarak 4307387926151115532621494 sonucunu bulun.

$$\left(\frac{4307387926151115532621494-5^{34}+25^{17}}{-5^{49}}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

34 sayısının 5 kuvvetini hesaplayarak 582076609134674072265625 sonucunu bulun.

$$\left(\frac{4307387926151115532621494-582076609134674072265625+25^{17}}{-5^{49}}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

4307387926151115532621494 sayısından 582076609134674072265625 sayısını çıkarıp 3725311317016441460355869 sonucunu bulun.

$$\left(\frac{3725311317016441460355869+25^{17}}{-5^{49}}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

17 sayısının 25 kuvvetini hesaplayarak 582076609134674072265625 sonucunu bulun.

$$\left(\frac{3725311317016441460355869+582076609134674072265625}{-5^{49}}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

3725311317016441460355869 ve 582076609134674072265625 sayılarını toplayarak 4307387926151115532621494 sonucunu bulun.

$$\left(\frac{4307387926151115532621494}{-5^{49}}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

49 sayısının 5 kuvvetini hesaplayarak 17763568394002504646778106689453125 sonucunu bulun.

$$\left(\frac{4307387926151115532621494}{-17763568394002504646778106689453125}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

\frac{4307387926151115532621494}{-17763568394002504646778106689453125} kesri, eksi işareti çıkarılarak -\frac{4307387926151115532621494}{17763568394002504646778106689453125} şeklinde yeniden yazılabilir.

$$\left(-\frac{4307387926151115532621494}{17763568394002504646778106689453125}+\frac{-625^{32}}{\left(-125\right)^{42}}\right)\left(-7\right)$$

32 sayısının 625 kuvvetini hesaplayarak 293873587705571876992184134305561419454666389193021880377187926569604314863681793212890625 sonucunu bulun.

$$\left(-\frac{4307387926151115532621494}{17763568394002504646778106689453125}+\frac{-293873587705571876992184134305561419454666389193021880377187926569604314863681793212890625}{\left(-125\right)^{42}}\right)\left(-7\right)$$

42 sayısının -125 kuvvetini hesaplayarak 11754943508222875079687365372222456778186655567720875215087517062784172594547271728515625 sonucunu bulun.

$$\left(-\frac{4307387926151115532621494}{17763568394002504646778106689453125}+\frac{-293873587705571876992184134305561419454666389193021880377187926569604314863681793212890625}{11754943508222875079687365372222456778186655567720875215087517062784172594547271728515625}\right)\left(-7\right)$$

-293873587705571876992184134305561419454666389193021880377187926569604314863681793212890625 sayısını 11754943508222875079687365372222456778186655567720875215087517062784172594547271728515625 sayısına bölerek -25 sonucunu bulun.

$$\left(-\frac{4307387926151115532621494}{17763568394002504646778106689453125}-25\right)\left(-7\right)$$

25 sayısını \frac{444089209850062616169452667236328125}{17763568394002504646778106689453125} kesrine dönüştürün.

$$\left(-\frac{4307387926151115532621494}{17763568394002504646778106689453125}-\frac{444089209850062616169452667236328125}{17763568394002504646778106689453125}\right)\left(-7\right)$$

-\frac{4307387926151115532621494}{17763568394002504646778106689453125} ile \frac{444089209850062616169452667236328125}{17763568394002504646778106689453125} aynı paydaya sahip olduğundan paylarını çıkararak çıkarma işlemi yapabilirsiniz.

$$\frac{-4307387926151115532621494-444089209850062616169452667236328125}{17763568394002504646778106689453125}\left(-7\right)$$

-4307387926151115532621494 sayısından 444089209850062616169452667236328125 sayısını çıkarıp -444089209854370004095603782768949619 sonucunu bulun.

$$-\frac{444089209854370004095603782768949619}{17763568394002504646778106689453125}\left(-7\right)$$

-\frac{444089209854370004095603782768949619}{17763568394002504646778106689453125}\left(-7\right) değerini tek bir kesir olarak ifade edin.

$$\frac{-444089209854370004095603782768949619\left(-7\right)}{17763568394002504646778106689453125}$$

-444089209854370004095603782768949619 ve -7 sayılarını çarparak 3108624468980590028669226479382647333 sonucunu bulun.

$$\frac{3108624468980590028669226479382647333}{17763568394002504646778106689453125}$$

Çarpanlara Ayır

$$\frac{7 \cdot 11 ^ {2} \cdot 31 \cdot 43 \cdot 2089 \cdot 1318002583147112110927347047}{5 ^ {49}} = 175\frac{3,0151864965421904 \times 10^{25}}{1,7763568394002505 \times 10^{34}} = 175,0000000016974$$