Simplify the expression. Remove all negative and zero exponents. Assume the expression is defined. $\left( \frac { a } { b ^ { 2 } } \right) ^ { - 9 }$
A) $\frac { b ^ { 9 } } { a ^ { 18 } }$
B) $\frac { b } { a ^ { 18 } }$
C) $\frac { a ^ { 9 } } { b ^ { 18 } }$
D) $- \frac { b ^ { 18 } } { a ^ { 2 } }$
E) $\frac { b ^ { 18 } } { a ^ { 9 } }$

Question

Quizplus · Accepted Answer

To remove the negative exponent, we need to move the base to the numerator and change the exponent to positive. Thus, we have $\frac{b^{18}}{a^9}$. This is the only answer choice in that form, so it must be the correct choice.

Simplify the Expression (ab2)−9\left( \frac { a } { b ^ { 2 } } \right) ^ { - 9 }(b2a​)−9

Simplify the Expression $\left( \frac { a } { b ^ { 2 } } \right) ^ { - 9 }$