Divide the monomials. $\frac { - 10 x ^ { 9 } q ^ { 11 } } { 5 x ^ { 2 } q ^ { 2 } }$
A) $- 2 x ^ { 7 } q ^ { 11 }$
B) $- 2 x ^ { 7 } q ^ { 9 }$
C) $- 2 x ^ { 9 } q ^ { 10 }$
D) $- 2 x ^ { 8 } q ^ { 9 }$

Question

Quizplus · Accepted Answer

When dividing monomials, you divide the coefficients and subtract the exponents of like bases. Here, $-10$ divided by $5$ gives $-2$, $x^9$ divided by $x^2$ gives $x^{9-2} = x^7$, and $q^{11}$ divided by $q^2$ gives $q^{11-2} = q^9$, resulting in $-2x^7q^9$.

Divide the Monomials −10x9q115x2q2\frac { - 10 x ^ { 9 } q ^ { 11 } } { 5 x ^ { 2 } q ^ { 2 } }5x2q2−10x9q11​

Divide the Monomials $\frac { - 10 x ^ { 9 } q ^ { 11 } } { 5 x ^ { 2 } q ^ { 2 } }$