Perform division and write the answer without using negative exponents. $\frac { - 12 x ^ { 6 } y ^ { 4 } z ^ { 9 } } { 3 x ^ { 9 } y ^ { 6 } z ^ { 0 } }$
A)$\frac { 4 z ^ { 9 } } { x ^ { 3 } y ^ { 6 } }$
B)$\frac { - 4 z ^ { 4 } } { x ^ { 3 } y ^ { 2 } }$
C) $\frac { 4 z ^ { 9 } } { x ^ { 3 } y ^ { 2 } }$
D) $\frac { - 4 z ^ { 9 } } { x ^ { 3 } y ^ { 2 } }$

Question

Quizplus · Accepted Answer

To solve the division, you divide the coefficients and subtract the exponents for variables with the same base: $-12 / 3 = -4$, $x^{6-9} = x^{-3}$, $y^{4-6} = y^{-2}$, and $z^{9-0} = z^9$. Since we don't use negative exponents in the final answer, the result is $\frac{-4z^9}{x^3y^2}$.

Perform Division and Write the Answer Without Using Negative Exponents −12x6y4z93x9y6z0\frac { - 12 x ^ { 6 } y ^ { 4 } z ^ { 9 } } { 3 x ^ { 9 } y ^ { 6 } z ^ { 0 } }3x9y6z0−12x6y4z9​

Perform Division and Write the Answer Without Using Negative Exponents $\frac { - 12 x ^ { 6 } y ^ { 4 } z ^ { 9 } } { 3 x ^ { 9 } y ^ { 6 } z ^ { 0 } }$