Question

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

$2^5\times 5^5$

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,

$\begin{array}{rcl}{2}^5\times 5^5& =& {(2\times 5)}^5\\ & =& {10}^5\end{array}$

Hence, using laws of exponents, $2^5\times 5^5={10}^5$.