melissamendoza001 melissamendoza001
  • 27-05-2014
  • Mathematics
contestada

how to simplify -64^(1/3)

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Lilith
Lilith Lilith
  • 27-05-2014
[tex]-64^{\frac{1}{3}}=\sqrt[3]{-64}= \sqrt[3]{(-4)^3} =-4[/tex]


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AL2006
AL2006 AL2006
  • 27-05-2014
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).
Answer Link

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