Find the reciprocal of $( \frac{4}{5})^8$.

Given: $( \frac{4}{5})^8$.

To do: To find the reciprocal of $( \frac{4}{5})^8$.

Solution:

As known, reciprocal of $a$ is $\frac{1}{a}$

$\therefore$ Reciprocal of $( \frac{4}{5})^8$ is $\frac{1}{( \frac{4}{5})^8}$

$=( \frac{5}{4})^8$

Thus, the reciprocal $( \frac{4}{5})^8$ is $( \frac{5}{4})^8$.

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Updated on: 10-Oct-2022

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