Question

Simplify the expression. Write your answer as a power.

${\mathrm{a}}^8.\mathrm{a}$.

Answer 1

Given number: ${\mathrm{a}}^8.\mathrm{a}$.

We know that

${\mathrm{a}}^{\mathrm{m}}.{\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$

Now,

${\mathrm{a}}^8.\mathrm{a}={\mathrm{a}}^{8+1}$ $\left[\because {\mathrm{a}}^{\mathrm{m}}.{\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}\right]$

$={\mathrm{a}}^9$

Hence, ${\mathrm{a}}^8.\mathrm{a}={\mathrm{a}}^9$.