SOLUTION: I am having problems with negative fractional exponents. Here's a problem Ive been working on. (8/27)^-2/3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I am having problems with negative fractional exponents. Here's a problem Ive been working on. (8/27)^-2/3       Log On


   

Question 394827: I am having problems with negative fractional exponents. Here's a problem Ive been working on.
(8/27)^-2/3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am having problems with negative fractional exponents. Here's a problem Ive been working on.
(8/27)^-2/3
-----
That exponent tells you three things:
1. take the cube root
2. square
3. invert
-----
You may do these in any order.
---
Note: Taking the root will give you a smaller number to work with
so I would do it first.
---
= (2/3)^-2
----
Note: Now either invert or square
Inverting you get (3/2)^2
Squaring you get 9/4
======================
Cheers,
Stan H.