hi I need help with this question I think the answer is -16 but I'm not sure, and don't really know how to explain how I got it.

Simplify the following number.

(-64)^2/3

1 answer

( - 64)⅔ = ∛( - 64 )²

- 64 = ( - 4 ) ∙ ( - 4 ) ∙ ( - 4 ) = ( - 4 )³

( - 64 )² = ( - 4³ )²

Since

( - 4³ )² = ( - 4² )³

( - 64) ⅔ = ∛( - 64 )² = ∛( - 4² )³ = ∛16³ = 16