Simplifying (x²)³(2x³)³/(4x)²

[REKLAW_WEHTTAM]

(x²)³(2x³)³/(4x)²

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

 

[Maged Saeed]

I think so

 

[mathman]

(x²)³(2x³)³/(4x)²

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

For clarity use parentheses (1/2)x^13

 

[AMenendez]

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.