How do you simplify $(6^(2/3)*4^(2/3))/3^(2/3)$ ?

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Answer 1 · 2017-04-08T07:03:41

$4$

In this case all the indices are the same, although the bases are different.

You can combine all the factors into a single base:

$(6^color(red)(2/3)xx 4^color(red)(2/3))/3^color(red)(2/3) " "=" " ((6xx4)/3)^color(red)(2/3)$

$= 8^color(red)(2/3)$

$= (root(3)(8))^2$

$=2^2 = 4$

How do you simplify (6^(2/3)*4^(2/3))/3^(2/3)(6^(2/3)*4^(2/3))/3^(2/3)?