Simplify.
-$$- 2 \left( x ^ { 3 } y \right) ^ { - 5 }$$
A) $- 2 x 15 y 5$
B) $\frac { 1 } { ( - 2 ) ^ { 5 } \mathrm { x } ^ { 15 } \mathrm { y } ^ { 5 } }$
C) $- 10 x ^ { 3 } y ^ { 5 }$
D) $\frac { - 2 } { x ^ { 15 } y ^ { 5 } }$

Question

Quizplus · Accepted Answer

To simplify, we can use the rule that $(a^b)^c = a^{bc}$. Applying this rule, we get:

$$-2(x^3y)^{-5} = -2x^{-15}y^{-5} = \frac{-2}{x^{15}y^5}$$

Therefore, the best choice is D.

Simplify - −2(x3y)−5- 2 \left( x ^ { 3 } y \right) ^ { - 5 }−2(x3y)−5

Simplify
- $- 2 \left( x ^ { 3 } y \right) ^ { - 5 }$