Question

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

$3^2\times 3^4\times 3^8$

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,

$\begin{array}{rcl}{3}^2\times 3^4\times 3^8& =& 3^{2+4+8}\\ & =& 3^{14}\end{array}$

Hence,Using laws of exponents, $3^2\times 3^4\times 3^8=3^{14}$.