document.write( "Question 200433: Rational Exponents and Radical Expressions\r
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document.write( "ok how do you factor out the common factor of 2x from 16x^4/5 8x^3/4\r
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document.write( "I was trying to do this in my head and this is what I got could you help me please\r
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document.write( "16x^4/5 8x^3/4 = 2x(8x^2/34x^1/2)\r
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Algebra.Com's Answer #150698 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! 16 x^(4/5) * 8x^(3/4) \n" ); document.write( ". \n" ); document.write( "remember,,,,,a^m*a^n = a^(m+n),,,,,,and a^m /a^n =a^(m-n) \n" ); document.write( ". \n" ); document.write( "Combine like terms \n" ); document.write( ". \n" ); document.write( "16*8*x^(4/5) *x^(3/4) \n" ); document.write( ". \n" ); document.write( "128 x^( 4/5 +3/4),,,,,,,,,,,,,,,,,,,,4/5 +3/4 = (16 +15)/20 = 31 /20 \n" ); document.write( ". \n" ); document.write( "128x^( 31/20) \n" ); document.write( ". \n" ); document.write( "2x ( 64) x^{ ( 31/20 - (20/20) },,,,,,,,,,,,,,20/20 =1,,,,,x^1=x \n" ); document.write( ". \n" ); document.write( "2x( 64x^(11/20) ) \n" ); document.write( ". \n" ); document.write( "Checking \n" ); document.write( ". \n" ); document.write( "Let x=2,,,,original = 374.8,,,,,answer = 274.8,,,,,ok \n" ); document.write( " |