Write the answer as a single term and simplify.
-$$\frac { 1 } { 3 } \left( \frac { 3 x } { x + 7 } \right) ^ { - 1 / 2 } \left( \frac { ( x + 7 ) ( 3 ) - 3 x } { ( x + 7 ) ^ { 2 } } \right)$$
A) $\frac { 21 } { ( 3 x ) ^ { 1 / 2 } ( x + 7 ) ^ { 3 / 2 } }$
B) $\frac { 7 } { ( 3 x ) ^ { 1 / 2 ( x + 7 ) ^ { 3 / 2 } } }$
C) $\frac { 3 x ^ { 1 / 2 } } { ( x + 7 ) ^ { 3 / 2 } }$
D) $\frac { 7 } { ( 3 x ) ^ { 1 / 2 } ( x + 7 ) ^ { 5 / 2 } }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac { 7 } { ( 3 x ) ^ { 1 / 2 } ( x + 7 ) ^ { 3 / 2 } }$ after simplifying the terms inside the parentheses and applying the negative exponent rule.

Write the Answer as a Single Term and Simplify 13(3xx+7)−1/2((x+7)(3)−3x(x+7)2)\frac { 1 } { 3 } \left( \frac { 3 x } { x + 7 } \right) ^ { - 1 / 2 } \left( \frac { ( x + 7 ) ( 3 ) - 3 x } { ( x + 7 ) ^ { 2 } } \right)31​(x+73x​)−1/2((x+7)2(x+7)(3)−3x​)

Write the Answer as a Single Term and Simplify $\frac { 1 } { 3 } \left( \frac { 3 x } { x + 7 } \right) ^ { - 1 / 2 } \left( \frac { ( x + 7 ) ( 3 ) - 3 x } { ( x + 7 ) ^ { 2 } } \right)$