141k views
4 votes
How to simplify -64^(1/3)

User Klewis
by
7.6k points

2 Answers

7 votes
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).
User Jackiexiao
by
7.4k points
3 votes

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


User Francesco Serra
by
7.8k points