document.write( "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 :) \n" ); document.write( "
Algebra.Com's Answer #280979 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
(8/27)^2/3
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\n" ); document.write( "The 3 in the denominator of the exponent tells you to
\n" ); document.write( "take the cube root.
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\n" ); document.write( "The 2 in the numerator of the exponent tells you to
\n" ); document.write( "square.
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\n" ); document.write( "You may perform these operations in any order and still
\n" ); document.write( "get the same answer.
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\n" ); document.write( "But, by taking the root 1st you get a smaller number to
\n" ); document.write( "square. So I would recommend you take the root, then
\n" ); document.write( "square, rather than square, and then take the root.
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\n" ); document.write( "So, (8/27)^(2/3)
\n" ); document.write( "1st: take the cube root to get:
\n" ); document.write( "(2/3)^2
\n" ); document.write( "2nd: now square to get:
\n" ); document.write( "= 4/9
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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