Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { u ^ { - 6 } } { v ^ { - 5 } } \right) ^ { - 1 }$
A) $\frac { u ^ { 5 } } { v ^ { 6 } }$
B) $\frac { v ^ { 5 } } { u ^ { 6 } }$
C) $u ^ { 6 } v ^ { 5 }$
D) $\frac { u ^ { 6 } } { v ^ { 5 } }$
E) $u ^ { 5 } v ^ { 6 }$

Question

Quizplus · Accepted Answer

When we raise a power to another power, we multiply the exponents. Thus, $\left( \frac { u ^ { - 6 } } { v ^ { - 5 } } ight) ^ { - 1 }=\frac {v^5}{u^6}$, which is choice $\boxed{	extbf{(D)}}$.

Simplify the Following Algebraic Expression and Express Your Answer Using (u−6v−5)−1\left( \frac { u ^ { - 6 } } { v ^ { - 5 } } \right) ^ { - 1 }(v−5u−6​)−1

Simplify the Following Algebraic Expression and Express Your Answer Using $\left( \frac { u ^ { - 6 } } { v ^ { - 5 } } \right) ^ { - 1 }$