Question

How to simplify -64^(1/3)

Answer 1

$-64^{\frac{1}{3}}=\sqrt[3]{-64}= \sqrt[3]{(-4)^3} =-4$

Answer 2

You need to find a number that you can multiply by itself 3 times and wind up with -64 .

Like [ N x N x N = -64 ] .

Try some small numbers:

1 x 1 x 1 = 1
2 x 2 x 2 = 8
3 x 3 x 3 = 27
4 x 4 x 4 = 64 . . . There it is ... almost !  The right number, but the wrong sign.

Now try (-4).