Simplify: $ \frac{2^{2} \times 3^{4} \times 2^{5}}{2^{4} \times 9} $


Given:

\( \frac{2^{2} \times 3^{4} \times 2^{5}}{2^{4} \times 9} \).

To do:
We have to simplify \( \frac{2^{2} \times 3^{4} \times 2^{5}}{2^{4} \times 9} \).
Solution:

We know that,

$a^m \times a^n= a^{m+n}$

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

$\frac{2^{2} \times 3^{4} \times 2^{5}}{2^{4} \times 9} =\frac{2^{2} \times 3^{4} \times 2^{5}}{2^{4} \times 3^2}$

$=2^{2+5-4}\times3^{4-2}$

$=2^3\times3^2$

$=8\times9$

$=72$

Therefore,

$\frac{2^{2} \times 3^{4} \times 2^{5}}{2^{4} \times 9} =72$.

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Updated on: 10-Oct-2022

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