How do you write $root3(8^3)$ as a fractional exponent?

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Answer 1 · 2017-02-10T16:17:58

$8$

By example: Suppose we had $x^(a/b)$ this is the same as $root(b)(x^a)$

So using this example and reversing the process we find that:

$root(3)(8^3)" is the same as "8^(3/3)$

This is the same as $8^1 = 8$

So $root(3)(8^3) = 8$

How do you write root3(8^3)root3(8^3) as a fractional exponent?