Question

Select the correct answer.

Which expression is equivalent to the given expression?
Assume the denominator does not equal zero.
12x⁹y⁴/6x³y²
A. 2x³y²
B. 2/x⁶y²
C. 2/x³y²
D. 2x⁶y²

Answer 1

To simplify the expression 12x⁹y⁴/6x³y², divide the coefficients and subtract the exponents. The equivalent expression is 2x^6y^2 (D).

Step-by-step explanation:

To simplify the expression 12x⁹y⁴/6x³y², we can divide the coefficients and subtract the exponents. Dividing 12 by 6 gives us 2, and subtracting the exponents gives us x^9-3 and y^4-2. Simplifying further, we get 2x^6y^2 as the equivalent expression. Therefore, the correct answer is D. 2x⁶y².