SOLUTION: Simplify (8/27)^-2/3

Question 36544: Simplify (8/27)^-2/3
Found 2 solutions by rapaljer, Sir prudent:
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!

When raising a number to a fractional power, the denominator of the exponent ALWAYS gives the index of the radical, and the numberator of the exponent always gives the power that you raise it to.

means

In this case, means

Of course, the cube root of 8 is 2, and the cube root of 27 is 3, so you have:

Now, when you have a fraction raised to a negative power, it means to invert the fraction. The fact that it is a -2 power, means you must INVERT the fraction, and SQUARE it.

R^2 at SCC
Answer by Sir prudent(1) (Show Source): You can put this solution on YOUR website!
Take cube root of(8/27)^2 it will now give 9/4
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