document.write( "Question 48520: 27 exponent 2/3 = (27 exponent 1/3)exponent 2 = 3 exponent 2 = 9 How to you get from step 2 (27 exponent 1/3) exponent 2 to step 3 (3 exponent 2)? \n" ); document.write( "

Algebra.Com's Answer #32104 by tutorcecilia(2152) $\"\"$ $\"About$

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$\"%2827%5E%282%2F3%29%29\"$ [Find the 3rd root of 27 which is 3]
\n" ); document.write( " $\"%283%5E3%29%5E%282%2F3%29\"$ [27 is the same as $\"%283%5E3%29\"$ ]
\n" ); document.write( " $\"%283%5E%28%283%2F1%29%282%2F3%29%29%29\"$ [Multiply exponents raised to another power]
\n" ); document.write( " $\"%283%5E%282%29%29\"$ [Cancel within the exponents if possible]
\n" ); document.write( "= 9 \n" ); document.write( "

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