Question

Represent $\frac{m^7}{n^7}$ 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, $\frac{a^n}{b^n}={\left(\frac{a}{b}\right)}^n$.

So, on applying, we get:$\frac{m^7}{n^7}$$={\left(\frac{m}{n}\right)}^7$

Hence, $\frac{m^7}{n^7}$ as a single exponent is equal to ${\left(\frac{m}{n}\right)}^7$.