Question

What is the cube root of 27a^12

Answer 1

ANSWER

$3{a}^{4 }$

EXPLANATION

The cube root of

$27 {a}^{12}$

is

$\sqrt[3]{27 {a}^{12} }$

This is the same as:

$(27 {a}^{12} )^{ \frac{1}{3} }$

$( {3}^{3} ({a}^{4})^{3} )^{ \frac{1}{3} }$

$= (3{a}^{4} )^{3 \times \frac{1}{3} }$

$= 3{a}^{4 }$