How do you simplify $(64 / 125) ^(1/3)$ ?

Question

10411 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-03T23:33:01

$64 = 4xx4xx4 = 4^3$
$125 = 5xx5xx5 = 5^3$

$(64/125)^(1/3) = (4^3/5^3)^(1/3) = ((4^3)^(1/3))/((5^3)^(1/3))$

$=(4^(3*1/3))/(5^(3*1/3)) = 4^1/5^1 = 4/5$

How do you simplify (64 / 125) ^(1/3) (64 / 125) ^(1/3)?