# How do you simplify (3x^2)^4 and write it using only positive exponents?

Sep 4, 2016

$81 {x}^{8}$
Use the power law of indices: $\text{ } {\left({x}^{a} {y}^{b}\right)}^{m} = {x}^{a m} {y}^{b m}$
${\left(3 {x}^{2}\right)}^{4} = {3}^{4} \times {x}^{8}$
=$81 {x}^{8}$