Atrisiniet 16^{-frac{2/2}27^{-1}81^frac{1{4}}}{16^-227^-frac{4{2}}81^frac{2{4}}}

$$\frac { 16 ^ { - \frac { 2 } { 2 } } 27 ^ { - 1 } 81 ^ { \frac { 1 } { 4 } } } { 16 ^ { - 2 } 27 ^ { - \frac { 4 } { 2 } } 81 ^ { \frac { 2 } { 4 } } }$$

Izrēķināt

$$144$$

Atrisinājuma darbības

Daliet 2 ar 2, lai iegūtu 1.

$$\frac{16^{-1}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Aprēķiniet 16 pakāpē -1 un iegūstiet \frac{1}{16}.

$$\frac{\frac{1}{16}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Aprēķiniet 27 pakāpē -1 un iegūstiet \frac{1}{27}.

$$\frac{\frac{1}{16}\times \frac{1}{27}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Reiziniet \frac{1}{16} un \frac{1}{27}, lai iegūtu \frac{1}{432}.

$$\frac{\frac{1}{432}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Aprēķiniet 81 pakāpē \frac{1}{4} un iegūstiet 3.

$$\frac{\frac{1}{432}\times 3}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Reiziniet \frac{1}{432} un 3, lai iegūtu \frac{1}{144}.

$$\frac{\frac{1}{144}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Aprēķiniet 16 pakāpē -2 un iegūstiet \frac{1}{256}.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Daliet 4 ar 2, lai iegūtu 2.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-2}\times 81^{\frac{2}{4}}}$$

Aprēķiniet 27 pakāpē -2 un iegūstiet \frac{1}{729}.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times \frac{1}{729}\times 81^{\frac{2}{4}}}$$

Reiziniet \frac{1}{256} un \frac{1}{729}, lai iegūtu \frac{1}{186624}.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{2}{4}}}$$

Vienādot daļskaitli \frac{2}{4} līdz mazākajam loceklim, izvelkot un saīsinot 2.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{1}{2}}}$$

Aprēķiniet 81 pakāpē \frac{1}{2} un iegūstiet 9.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 9}$$

Reiziniet \frac{1}{186624} un 9, lai iegūtu \frac{1}{20736}.

$$\frac{\frac{1}{144}}{\frac{1}{20736}}$$

Daliet \frac{1}{144} ar \frac{1}{20736}, reizinot \frac{1}{144} ar apgriezto daļskaitli \frac{1}{20736} .

$$\frac{1}{144}\times 20736$$

Reiziniet \frac{1}{144} un 20736, lai iegūtu 144.

$$144$$

Sadalīt reizinātājos

$$2^{4}\times 3^{2}$$