Question

Simplify each expression.

1. (8/27)^1/3

2. (8/27)^2/3

Answer 1

both 8 and 27 are perfect cubes, so the cube root will be exact and

2.
(8/27)^(1/3) = 2/3

for (8/27)^(2/3)
= [(8/27)^(1/3) ]^2
= (2/3)^2
= 4/9