Question #c9346

1 Answer
Nov 3, 2017

3

Explanation:

27^(1/3) can be written as (3^3)^(1/3).

When we have any function color(red)((a^b)^c, we multiply the exponents, thereforecolor(red)(a^(b*c)=a^(bc)

So,

27^(1/3)
= (3^3)^(1/3)
=3^color(blue)(3*1/3)

We know that color(blue)(cancel3*1/cancel3)=1

So,

3^color(blue)(3*1/3)
=3^1
=3