Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero
real numbers.)
-$$\left( 3 m ^ { 2 } n ^ { - 3 } \right) ^ { 2 }$$
A) $3 m ^ { 4 } n ^ { 6 }$
B) $\frac { 3 m ^ { 4 } } { n ^ { 6 } }$
C) $9 m ^ { 4 } n ^6$
D) $\frac { 9 m ^ { 4 } } { n ^ { 6 } }$

Question

Quizplus · Accepted Answer

When you raise a power to a power, you multiply the exponents. So, $(3m^2n^{-3})^2 = 3^2m^{2*2}n^{-3*2} = 9m^4n^{-6}$. To write without negative exponents, move $n^{-6}$ to the denominator: $\frac{9m^4}{n^6}$.

Simplify the Expression (3m2n−3)2\left( 3 m ^ { 2 } n ^ { - 3 } \right) ^ { 2 }(3m2n−3)2

Simplify the Expression $\left( 3 m ^ { 2 } n ^ { - 3 } \right) ^ { 2 }$