Question

Represent $5^2\times 3^2$ as a single exponent.

Answer 1

We know that for any non-zero integers $\text{'}a\text{'}$ and $\text{'}b\text{'}$ and for any natural number $\text{'}n\text{'}$, we have, $a^n\times b^n={\left(a\times b\right)}^n$.

So, on applying, we get:$5^2\times 3^2$${\left(5\times 3\right)}^2={\left(15\right)}^2$

Hence, $5^2\times 3^2$ as a single exponent is equal to ${\left(15\right)}^2$.