How do you simplify $27^(3/4)$ ?

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Answer 1 · 2017-01-03T13:29:04

$9 root(4)3$

Factorize the basis.

$(3∧3)∧(3/4) = 3∧9/4 = 3∧(2 + 1/4) =$

$= 3∧2 * 3∧1/4 = 9 * root(4)3$

I used

$(a∧b)∧c = a∧(bc)$

$a∧(b + c) = a∧b * a∧c$

How do you simplify 27^(3/4)27^(3/4)?