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Need Help With Factoring Polynomials

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  1. Nov 25, 2014 #1
    (x2)3(2x3)3/(4x)2

    I got 1/2x^13, is this correct?
     
  2. jcsd
  3. Nov 25, 2014 #2
    I think so
     
  4. Nov 26, 2014 #3

    mathman

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    Gold Member

    For clarity use parentheses (1/2)x^13
     
  5. Nov 26, 2014 #4
    Yeah, you've got it.
    Remember that raising a power of ##x## to a power is like multiplying the exponents. So, ##(x^n)^m = x^{nm}##. In the numerator, you've got ##2x^{15}##, while in the denominator, you've got ##4x^2##. The 4 cancels the 2, and by basic exponent laws, the square in the denominator cancels two powers of ##x## in the numerator. So, you get ##\frac{1}{2} x^{13}##, which is what you got.
     
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