Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$\frac { 5 r ^ { - 1 } \left( r ^ { 3 } \right) ^ { 4 } } { 2 \left( r ^ { - 2 } \right) ^ { - 2 } }$
A) $\frac { 5 } { 2 r ^ { 7 } }$
B) $\frac { 5 r ^ { 10 } } { 2 }$
C) $\frac { 5 } { 2 r ^ { 10 } }$
D) $\frac { 5 r ^ { 7 } } { 2 }$

Question

Quizplus · Accepted Answer

First, simplify the expression using exponent rules. The numerator becomes $5r^{-1}(r^{12}) = 5r^{11}$ and the denominator simplifies to $2(r^4) = 2r^4$. Dividing the numerator by the denominator gives $\frac{5r^{11}}{2r^4} = \frac{5r^{7}}{2}$.

Perform the Indicated Operations 5r−1(r3)42(r−2)−2\frac { 5 r ^ { - 1 } \left( r ^ { 3 } \right) ^ { 4 } } { 2 \left( r ^ { - 2 } \right) ^ { - 2 } }2(r−2)−25r−1(r3)4​

Perform the Indicated Operations $\frac { 5 r ^ { - 1 } \left( r ^ { 3 } \right) ^ { 4 } } { 2 \left( r ^ { - 2 } \right) ^ { - 2 } }$