Need Help With Factoring Polynomials

  • #1

Main Question or Discussion Point

(x2)3(2x3)3/(4x)2

I got 1/2x^13, is this correct?
 

Answers and Replies

  • #2
105
3
I think so
 
  • #3
mathman
Science Advisor
7,742
406
(x2)3(2x3)3/(4x)2

I got 1/2x^13, is this correct?
For clarity use parentheses (1/2)x^13
 
  • #4
37
0
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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