Whakaoti i te 3^-2(5^-3)/9^7125^-4

$$\frac{ { 3 }^{ -2 } ( { 5 }^{ -3 } ) }{ { 9 }^{ 7 } { 125 }^{ -4 } }$$

Aromātai

$$\frac{1953125}{43046721}\approx 0.045372213$$

Ngā Upane Otinga

Tātaihia te 3 mā te pū o -2, kia riro ko \frac{1}{9}.

$$\frac{\frac{1}{9}\times 5^{-3}}{9^{7}\times 125^{-4}}$$

Tātaihia te 5 mā te pū o -3, kia riro ko \frac{1}{125}.

$$\frac{\frac{1}{9}\times \frac{1}{125}}{9^{7}\times 125^{-4}}$$

Whakareatia te \frac{1}{9} ki te \frac{1}{125}, ka \frac{1}{1125}.

$$\frac{\frac{1}{1125}}{9^{7}\times 125^{-4}}$$

Tātaihia te 9 mā te pū o 7, kia riro ko 4782969.

$$\frac{\frac{1}{1125}}{4782969\times 125^{-4}}$$

Tātaihia te 125 mā te pū o -4, kia riro ko \frac{1}{244140625}.

$$\frac{\frac{1}{1125}}{4782969\times \frac{1}{244140625}}$$

Whakareatia te 4782969 ki te \frac{1}{244140625}, ka \frac{4782969}{244140625}.

$$\frac{\frac{1}{1125}}{\frac{4782969}{244140625}}$$

Whakawehe \frac{1}{1125} ki te \frac{4782969}{244140625} mā te whakarea \frac{1}{1125} ki te tau huripoki o \frac{4782969}{244140625}.

$$\frac{1}{1125}\times \frac{244140625}{4782969}$$

Whakareatia te \frac{1}{1125} ki te \frac{244140625}{4782969}, ka \frac{1953125}{43046721}.

$$\frac{1953125}{43046721}$$

Tauwehe

$$\frac{5 ^ {9}}{3 ^ {16}} = 0.045372213135583546$$