I don't understand how you do it without a calculator? :/

Posted Sun 10th June, 2012 @ 12:13 by

Hoosierette
(1/125)^-(2/3)

Because the power is in fact negative, this means you need the reciprocal of (1/125), which is 125. So you have 125^(2/3). You then need to cube root 125: think of it as 125^[(1/3)*2] Or [125^(1/3)]^2 (powers outside brackets multiply).

You should know that the cube root of 125 is 5 (5 x 5 = 25, 25 x 5 = 125)

So 125^(1/3)=5

So you have [5]^2, so you end up squaring 5, so the answer is 25

Answered Sun 10th June, 2012 @ 12:27 by

Emily
Answered Sun 10th June, 2012 @ 12:54 by

Hoosierette