Question

What is the cube root of 27a^12

Answer 1

`3{a}^(4 )`

Step-by-step explanation

The cube root of

`27 {a}^(12)`

is

`\sqrt[3]{27 {a}^(12) }`

This is the same as:

`(27 {a}^(12) )^{ (1)/(3) }`

`( {3}^(3) ({a}^(4))^(3) )^{ (1)/(3) }`

`= (3{a}^(4) )^{3 * (1)/(3) }`

`= 3{a}^(4 )`