Use the Quotient Rule
-$\frac { - 30 x ^ { 11 } } { 5 x ^ { 8 } }$
A) $- 6 x ^ { 3 }$
B) $x ^ { 2 }$
C) $x ^ { 3 }$
D) $- 6 x ^ { 2 }$

Question

Quizplus · Accepted Answer

The Quotient Rule for exponents states that $\frac{a^m}{a^n} = a^{m-n}$ when dividing powers with the same base. Applying this to $\frac{-30x^{11}}{5x^8}$, first simplify the coefficients: $\frac{-30}{5} = -6$. Then apply the rule to the exponents: $x^{11-8} = x^3$. Thus, the answer is $-6x^3$.

Use the Quotient Rule - −30x115x8\frac { - 30 x ^ { 11 } } { 5 x ^ { 8 } }5x8−30x11​

Use the Quotient Rule
- $\frac { - 30 x ^ { 11 } } { 5 x ^ { 8 } }$