# Need Help With Factoring Polynomials

## Main Question or Discussion Point

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

I got 1/2x^13, is this correct?

I think so

mathman
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.