Answer:
x²
Step-by-step explanation:
[tex]\frac{(3x^4y)^2}{9x^6y^2}[/tex]
Distribute the exponent in the numerator. When raising a number with a variable to another power, multiply the exponents together to get the new exponent.
[tex]\frac{9x^8y^2}{9x^6y^2}[/tex]
Cancel out the common factors. Both of the 9's will cancel out, and the y²'s will also cancel out. This leaves (x⁸/x⁶). When dividing with exponents, subract the exponents to get the new exponent.
[tex]\frac{x^8}{x^6}=x^2[/tex]
The answer is x².
