How do you simplify $3^(5/3)*3^(1/3)$ ?

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Answer 1 · 2016-08-14T02:57:23

$3^(5/3) xx 3^(1/3) = 9$

From a rule of indices: $a^n xx a^m = a^(n+m)$

In this example $a=3, n=5/3, m=1/3$

Therefore: $3^(5/3) xx 3^(1/3) = 3^(5/3+1/3)$

$=3^(6/3) =3^2 =9$

How do you simplify 3^(5/3)*3^(1/3)3^(5/3)*3^(1/3)?