How do you simplify ((8^(-1/3))^2)?

2 Answers
May 22, 2016

1/4 =0.25

Explanation:

(8^(-1/3))^2

we know,
8^(-1/3) = 1/2 by applying exponent rule i.e a^-b =1/(a^b =1/8^(1/3) and 8^(1/3) = 2

So,
(1/2)^2

1/4 = 0.25

May 22, 2016

1/4

Very slightly different approach!

Explanation:

Write as: " "8^(-1/3)xx8^(-1/3) = 8^(-2/3) = 1/(root(3)(8^2)) = 1/4