Simplify:
$ \frac{4^{-2}}{5^{-3}} $


Given:

\( \frac{4^{-2}}{5^{-3}} \)

To do:

We have to simplify \( \frac{4^{-2}}{5^{-3}} \).

Solution:

We know that,

$a^{-m}=\frac{1}{a^m}$

Therefore,

$\frac{4^{-2}}{5^{-3}}=\frac{5^3}{4^2}$

$=\frac{125}{16}$ 

Updated on: 10-Oct-2022

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