(1/125)^-2/3

  • 0 votes

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

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

2 Answers

  • 3 votes

(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
  • 0 votes

Thanks :)

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