document.write( "Question 180106: please Simplify each expression..\r
\n" ); document.write( "\n" ); document.write( "1. (16x^8)^-0.75\r
\n" ); document.write( "\n" ); document.write( "2. (-64a^9)^4/3
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Algebra.Com's Answer #134973 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
please Simplify each expression..
\n" ); document.write( "1. (16x^8)^-0.75 \r
\n" ); document.write( "\n" ); document.write( "= (2^4x^8)^(-3/4)\r
\n" ); document.write( "\n" ); document.write( "Taking the 4th root you get:\r
\n" ); document.write( "\n" ); document.write( "= (2x^2)^-3\r
\n" ); document.write( "\n" ); document.write( "Cubing you get:\r
\n" ); document.write( "\n" ); document.write( "= (8x^6)^(-1)\r
\n" ); document.write( "\n" ); document.write( "Invert to get:\r
\n" ); document.write( "\n" ); document.write( "= 1/(8x^6)
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\n" ); document.write( "\n" ); document.write( "2. (-64a^9)^4/3\r
\n" ); document.write( "\n" ); document.write( "= (-4^3a^9)^(4/3)\r
\n" ); document.write( "\n" ); document.write( "Take the cube root to get:\r
\n" ); document.write( "\n" ); document.write( "= (-4a^3)^4\r
\n" ); document.write( "\n" ); document.write( "Raise to the 4th power to get:\r
\n" ); document.write( "\n" ); document.write( "= (256a^12)\r
\n" ); document.write( "\n" ); document.write( "===========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "

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