Question

Simplify:(32/243)raised to the power -4/5

Answer 1

Answer:

ans is 81/16

Step-by-step explanation:

hope it helps

Answer 2

The simplified form of the provided expression is $\frac{81}{16}$.

Step-by-step explanation:

Consider the provided expression.

$\left(\frac{32}{243}\right)^{-\frac{4}{5}}$

Apply the exponent rule; $\:a^{-b}=\frac{1}{a^b}$

$\left(\frac{32}{243}\right)^{-\frac{4}{5}}=\frac{1}{\left(\frac{32}{243}\right)^{\frac{4}{5}}}$

Consider $\left(\frac{32}{243}\right)^{\frac{4}{5}}$

Apply the exponent rule $\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}$

$\frac{\left(2^5\right)^{\frac{4}{5}}}{\left(3^5\right)^{\frac{4}{5}}}=\frac{16}{81}$

Therefore,

$\left(\frac{32}{243}\right)^{-\frac{4}{5}}=\frac{1}{\frac{16}{81}}$

$\left(\frac{32}{243}\right)^{-\frac{4}{5}}=\frac{81}{16}$

Hence, the simplified form of the provided expression is $\frac{81}{16}$.

#Learn more

32/243 raise to power -3/5

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