Question

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

${\mathrm{a}}^4\times {\mathrm{b}}^4$

Answer 1

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

${\mathrm{a}}^{\mathrm{m}}\times {\mathrm{b}}^{\mathrm{m}}={\left(\mathrm{ab}\right)}^{\mathrm{m}}$

So, the given expression becomes,

$\begin{array}{rcl}{\mathrm{a}}^4\times {\mathrm{b}}^4& =& {\left(\mathrm{ab}\right)}^4\end{array}$

Hence,Using laws of exponents, $\begin{array}{rcl}{\mathrm{a}}^4\times {\mathrm{b}}^4& =& {\left(\mathrm{ab}\right)}^4\end{array}$.