Question

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

(xiii) ${(-4)}^5\times {\left(7\right)}^5$

Answer 1

Solving through laws of exponents

We know that, $x^m\times y^m={(x\times y)}^m$

${\Rightarrow (-4)}^5\times {\left(7\right)}^5={\left\{\left(-4\right)\times 7\right\}}^5={\left(-28\right)}^5$

Hence, exponential form of ${(-4)}^5\times {\left(7\right)}^5$ is ${\left(-28\right)}^5$.