How do you evaluate and simplify $8^(1/3)$ ?

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Answer 1 · 2017-02-10T01:15:03

$2$

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since $(a^b)^c = a^(b*c)$ , try to rewrite the base into the form $a^b$ so that the $b$ and the fractional power $c$ will multiply out.

$8 = 2 * 2 * 2$
$8 = 2^3$

Now, plug it into the original expression

$8 ^(1/3)$
$= (2^3)^(1/3)$
$= 2^(3*1/3)$
$= 2^1$
$=2$

How do you evaluate and simplify 8^(1/3)8^(1/3)?