# How do you simplify (3x^4)^3?

Jul 2, 2016

$27 {x}^{12}$

#### Explanation:

The indices rule for this scenario is that

${\left({x}^{a}\right)}^{b} = {x}^{a b}$

Removing the '3' from the bracket gives:

${\left(3\right)}^{3} {\left({x}^{4}\right)}^{3}$

which resolves to

$27 {x}^{12}$