Question

Simplify the expression. Write your answer as a power.

${\left(5^4\right)}^2$.

Answer 1

Given number: ${\left(5^4\right)}^2$.

We know that

${\left({\mathrm{a}}^{\mathrm{m}}\right)}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}\times \mathrm{n}}$

Now,

${\left(5^4\right)}^2=5^{4\times 2}=5^8$.

Hence, ${\left(5^4\right)}^2=5^8$.