Simplify the expression. $$\left( \frac { r ^ { 5 } r ^ { - 1 } } { r ^ { 3 } r ^ { - 3 } } \right) ^ { 2 }$$
Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.
A) $r ^ { 2 }$
B) $\quad r ^ { 8 }$
C) $\quad r ^ { 0 }$
D) $\quad r ^ { 12 }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\frac{r^{5}r^{-1}}{r^{3}r^{-3}} = \frac{r^{4}}{r^{0}} = r^{4}$. Then, raise it to the power of 2: $(r^{4})^{2} = r^{8}$.

Simplify the Expression (r5r−1r3r−3)2\left( \frac { r ^ { 5 } r ^ { - 1 } } { r ^ { 3 } r ^ { - 3 } } \right) ^ { 2 }(r3r−3r5r−1​)2

Simplify the Expression $\left( \frac { r ^ { 5 } r ^ { - 1 } } { r ^ { 3 } r ^ { - 3 } } \right) ^ { 2 }$