Simplify the expression. $\left( \frac { r ^ { 4 } r ^ { - 2 } } { r ^ { 4 } r ^ { - 4 } } \right) ^ { 5 }$Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.
A) $ r ^ { 10}$
B) $ r ^ { 0}$
C) $ r ^ { 30}$
D) $ r ^ { 5}$

Question

Quizplus · Accepted Answer

The expression simplifies to $r^{10}$ by applying the laws of exponents: $\left( \frac { r ^ { 4 } r ^ { - 2 } } { r ^ { 4 } r ^ { - 4 } } \right) ^ { 5 } = \left( r^{(4-2)-(4-4)} \right)^5 = \left( r^{2} \right)^5 = r^{10}$.

Simplify the Expression (r4r−2r4r−4)5\left( \frac { r ^ { 4 } r ^ { - 2 } } { r ^ { 4 } r ^ { - 4 } } \right) ^ { 5 }(r4r−4r4r−2​)5

Simplify the Expression $\left( \frac { r ^ { 4 } r ^ { - 2 } } { r ^ { 4 } r ^ { - 4 } } \right) ^ { 5 }$