What is $64^(1/3)$ ?

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Answer 1 · 2017-07-26T03:39:22

$64^(1/3) = 4$

$64^(1/3) = root3(64)$

When finding roots of integers it is often helpful to express the integer as its prime factors.

$64 = 2xx2xx2xx2xx2xx2$

$:. root3(64) =root3(2xx2xx2xx2xx2xx2)$

We can now take each triple through the $root$ one time.

$:. root3(64) = 2xx2 = 4$

Hence, $64^(1/3) = 4$

Answer 2 · 2017-07-26T11:41:17

$4$

$64^(1/3)$

$= (4xx4xx4)^(1/3)$

$= 4^((3xx1/3))$

$=4^1$

$=4$

What is 64^(1/3)64^(1/3) ?