How do you simplify \(-64^{1/3}\)?

− 6 4 3 1 ​ = 3 − 64 ​ = 3 ( − 4 ) 3 ​ = − 4

Answered by Lilith | 2024-06-10

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).

Answered by AL2006 | 2024-06-10

The expression − 6 4 1/3 simplifies to − 4 by finding the cube root of -64, which is ( − 4 ) 3 . Therefore, − 6 4 1/3 equals − 4 .
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Answered by Lilith | 2024-12-24