Express the following rational numbers in power notation.
$ -\frac{216}{125} $

Given :

The given number is $-\frac{216}{125}$

To do :

We have to express the given rational number in power notation.

Solution:

We know that,

$(\frac{a}{b})^3 = \frac{a^3}{b^3}$

$-\frac{216}{125}$

$125 = 5\times 5\times 5 = (5)^3$

$216 = 6\times 6\times 6 = 6^3$

Therefore,

$-\frac{216}{125} = -\frac{(6)^3}{(5)^3}$

$= -(\frac{6}{5})^3$

Therefore, $-\frac{-216}{125}$ in power notation is  $-(\frac{6}{5})^3$.

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Updated on: 10-Oct-2022

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