SOLUTION: Rational Exponents and Radical Expressions ok how do you factor out the common factor of 2x from 16x^4/5 8x^3/4 I was trying to do this in my head and this is what I got coul

Algebra ->  Rational-functions -> SOLUTION: Rational Exponents and Radical Expressions ok how do you factor out the common factor of 2x from 16x^4/5 8x^3/4 I was trying to do this in my head and this is what I got coul      Log On


   

Question 200433: Rational Exponents and Radical Expressions
ok how do you factor out the common factor of 2x from 16x^4/5 8x^3/4
I was trying to do this in my head and this is what I got could you help me please
16x^4/5 8x^3/4 = 2x(8x^2/34x^1/2)



Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
16 x^(4/5) * 8x^(3/4)
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remember,,,,,a^m*a^n = a^(m+n),,,,,,and a^m /a^n =a^(m-n)
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Combine like terms
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16*8*x^(4/5) *x^(3/4)
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128 x^( 4/5 +3/4),,,,,,,,,,,,,,,,,,,,4/5 +3/4 = (16 +15)/20 = 31 /20
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128x^( 31/20)
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2x ( 64) x^{ ( 31/20 - (20/20) },,,,,,,,,,,,,,20/20 =1,,,,,x^1=x
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2x( 64x^(11/20) )
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Checking
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Let x=2,,,,original = 374.8,,,,,answer = 274.8,,,,,ok