Question

How do you simplify `(125x)^(2/3)`?

Answer 1

`(125x)^(2/3)` = `(125^(2/3)*x^(2/3))` = `(5^(2)*x^(2/3))` = `(25*x^(2/3))`

Explanation:

`(125x)^(2/3)`
says:
( remember that `(125x)^(2/3)` = `((125x)^(2))^(1/3)` )
125x multiplied by itself twice(because of the 2 exponent) (i'll say that in math: (125x)^(2) ) then all that multiplied by itself 1/3 times (aka taking the cube root of that)
`(125x)^(2) = 15625*x^2`
now for cube root:
`(15625*x^2)^(1/3)`
`(15625^(2/3)*x^(2/3))`
`25*x^(2/3)`
you could've also instead of squaring first, then taking the cube root,
you could've of cube rooted first, then squared,
or:
you could've done both at the same time: (which is what you see in the awnser up top)