Question

Using laws of exponents, simplify and write the answer in exponential form:

${\mathrm{a}}^3\times {\mathrm{a}}^2$

Answer 1

We know that by the rule of multiplying the powers with the same base we have

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

So, the given expression becomes,

$\begin{array}{rcl}{\mathrm{a}}^3\times {\mathrm{a}}^2& =& {\mathrm{a}}^{3+2}\\ & =& {\mathrm{a}}^5\end{array}$

Hence,Using laws of exponents, ${\mathrm{a}}^3\times {\mathrm{a}}^2={\mathrm{a}}^5$.