Simplify the following algebraic expression and express your answer using positive exponents only. $\left( 5 a ^ { 2 } b ^ { 5 } \right) ^ { - 1 }$
A) $\frac { 5 } { a ^ { 3 } b ^ { 6 } }$
B) $\frac { 6 } { a ^ { 2 } b ^ { 6 } }$
C) $\frac { 1 } { 5 a ^ { 3 } b ^ { 5 } }$
D) $\frac { 1 } { 5 a ^ { 2 } b ^ { 5 } }$

Question

Quizplus · Accepted Answer

When an expression is raised to a negative exponent, it is equivalent to taking the reciprocal of the expression with a positive exponent. Thus, $\left( 5 a ^ { 2 } b ^ { 5 } \right) ^ { - 1 }$ simplifies to $\frac { 1 } { 5 a ^ { 2 } b ^ { 5 } }$.

Simplify the Following Algebraic Expression and Express Your Answer Using (5a2b5)−1\left( 5 a ^ { 2 } b ^ { 5 } \right) ^ { - 1 }(5a2b5)−1

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