Solve the following:
$(\frac{5}{3})^4 \times (\frac{5}{3})^4 \div (\frac{5}{3})^2$.

Given :

The given expression is $(\frac{5}{3})^4 \times (\frac{5}{3})^4 \div (\frac{5}{3})^2$.

To do :

We have to solve the given expression.

Solution :

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

We know that,

$a^m \times a^n = a^{m+n}$ and $a^m \div a^n = a^{m-n}$

$(\frac{5}{3})^4 \times (\frac{5}{3})^4 \div (\frac{5}{3})^2 = (\frac{5}{3})^{4+4-2}$

                                            $ = (\frac{5}{3})^{8-2}$ 

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

Therefore, the value fo $(\frac{5}{3})^4 \times (\frac{5}{3})^4 \div (\frac{5}{3})^2$ is $(\frac{5}{3})^{6}$. 

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Updated on: 10-Oct-2022

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