document.write( "Question 763775: Please help me evaluate (-27/8)^4/3\r
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Algebra.Com's Answer #465011 by rothauserc(4718) $\"\"$ $\"About$

You can put this solution on YOUR website!
we are asked to evaluate (-27/8)^4/3
\n" ); document.write( "(-27/8)^4/3 means take the cube root of -1 * (27*27*27*27) / (8*8*8*8)
\n" ); document.write( "notice that the cube root of (27*27*27) / (8*8*8) = 27/8, so we have
\n" ); document.write( "27/8 * cube root of -1 * 27/8, but 3^3 = 27 and 2^2 =8, so we have
\n" ); document.write( "(27*3) / (8*2) * cube root of -1
\n" ); document.write( "now the cube root of -1 is -1, so the final answer is
\n" ); document.write( "-81/16
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