Question

Using laws of exponents, simplify and write the answer in exponential form: $\frac{{\left(5^2\right)}^3}{5^3}$

Answer 1

$\frac{{\left(5^2\right)}^3}{5^3}$

Let $a=\frac{{\left(5^2\right)}^3}{5^3}$

using ${\left(a^m\right)}^n=a^{mn}$

$a=\frac{5^6}{5^3}$

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

$a=5^{6-3}$

$a=5^3=125$