How do you simplify $(x^(2/9))^(3/8)$ ?

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Answer 1 · 2016-10-23T14:02:57

$x^(1/12)" "or" "root12(x)$

Recall: one of the laws of indices:

$(x^m)^n = x^(mxxn)$

Raising a power to a power, multiply the indices.

$(x^(2/9))^(3/8) = x^((2xx3)/(9xx8))" "larr (cancel2xxcancel3)/(cancel9^3xxcancel8^4) = 1/12$

= $x^(1/12)$

This can also be written as $root12(x)$

How do you simplify (x^(2/9))^(3/8)(x^(2/9))^(3/8)?