Are $(-8)^(1/3)$ and $-(8)^(1/3)$ equivalent expressions?

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Answer 1 · 2018-05-29T22:02:30

See a solution process below:

We can rewrite these expressions as:

$(-8)^(1/3) = root(3)(-8) = -2$

$-(8)^(1/3) = -root(3)(8) = -(2) = -2$

$(-8)^(1/3)$ and $-(8)^(1/3)$ are equivalent expressions

Are (-8)^(1/3)(-8)^(1/3) and -(8)^(1/3)-(8)^(1/3) equivalent expressions?