Simplify the following:$ \left(\frac{x^{2} y^{2}}{a^{2} b^{3}}\right)^{n} $

Given:

\( \left(\frac{x^{2} y^{2}}{a^{2} b^{3}}\right)^{n} \)

To do:

We have to simplify the given expression.

Solution:

We know that,

$(a^{m})^{n}=a^{m n}$

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

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

$a^{0}=1$
 Therefore,

$(\frac{x^{2} y^{2}}{a^{2} b^{3}})^{n}=\frac{x^{2 n} \times y^{2 n}}{a^{2 n} b^{3 n}}$

$=\frac{x^{2 n} y^{2 n}}{a^{2 n} b^{3 n}}$

Hence, $(\frac{x^{2} y^{2}}{a^{2} b^{3}})^{n}=\frac{x^{2 n} y^{2 n}}{a^{2 n} b^{3 n}}$.

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Updated on: 10-Oct-2022

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