Question

Express ${\left[{\left(-3\right)}^5\right]}^3$ with a single exponent.

Answer 1

As we know that for any non-zero integer $\text{'}a\text{'}$ and natural numbers $m$ and $n$, we have,

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

So, on applying, we get ,${\left[{\left(-3\right)}^5\right]}^3$$={\left(-3\right)}^{5\times 3}={\left(-3\right)}^{15}$

Hence, ${\left[{\left(-3\right)}^5\right]}^3$ as a single exponent will be equal to ${\left(-3\right)}^{15}$.