Divide.
-$$\frac { - 21 x ^ { 1 } - 30 x ^ { - 3 } } { 3 x ^ { - 7 } }$$
A) $- 7 x ^ { 8 } - 30 x - 3$
B) $- 7 x ^ { 8 } - 10 x ^ { 4 }$
C) $- 21 x ^ { 1 } - 10 x ^ { 4 }$
D) $- 17 x ^ { 5 }$

Question

Quizplus · Accepted Answer

To divide the given expression, apply the rule $\frac{a^m}{a^n} = a^{m-n}$ for each term: $\frac{-21x^1}{3x^{-7}} = -7x^{1-(-7)} = -7x^8$ and $\frac{-30x^{-3}}{3x^{-7}} = -10x^{-3-(-7)} = -10x^4$.

Divide - −21x1−30x−33x−7\frac { - 21 x ^ { 1 } - 30 x ^ { - 3 } } { 3 x ^ { - 7 } }3x−7−21x1−30x−3​

Divide
- $\frac { - 21 x ^ { 1 } - 30 x ^ { - 3 } } { 3 x ^ { - 7 } }$