Simplify the following algebraic expression and express your answer using positive exponents only. $\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }$
A) $\frac { 1 } { 4 y ^ { 7 } }$
B) $\frac { 4 } { y ^ { 7 } }$
C) $\frac { 1 } { 4 y ^ { 3 } }$
D) $4 y ^ { 3 }$
E) $4 y ^ { 7 }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\frac{20y^5}{5y^{-2}} = 4y^{5-(-2)} = 4y^7$. Then, taking the reciprocal because of the exponent $-1$, we get $\frac{1}{4y^7}$.

Simplify the Following Algebraic Expression and Express Your Answer Using (20y55y−2)−1\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }(5y−220y5​)−1

Simplify the Following Algebraic Expression and Express Your Answer Using $\left( \frac { 20 y ^ { 5 } } { 5 y ^ { - 2 } } \right) ^ { - 1 }$