Question

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

$7^x\times 7^2$

Answer 1

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

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

So, the given expression becomes,

$\begin{array}{rcl}{7}^x\times 7^2& =& 7^{x+2}\end{array}$

Hence,Using laws of exponents, $\begin{array}{rcl}{7}^x\times 7^2& =& 7^{x+2}\end{array}$.