Question 395957: Hello , can you please help me ? The problem I have to simplify is (8/27)^2/3 and the answer to it is 4/9 but i don't understand how to get that answer ? please help ! thank you :)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! (8/27)^2/3
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The 3 in the denominator of the exponent tells you to
take the cube root.
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The 2 in the numerator of the exponent tells you to
square.
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You may perform these operations in any order and still
get the same answer.
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But, by taking the root 1st you get a smaller number to
square. So I would recommend you take the root, then
square, rather than square, and then take the root.
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So, (8/27)^(2/3)
1st: take the cube root to get:
(2/3)^2
2nd: now square to get:
= 4/9
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Cheers,
Stan H.
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