Simplify the expression. Write your answer with positive exponents only. $$\frac { - 54 a ^ { 9 } b ^ { 6 } } { 12 a ^ { 2 } b ^ { 9 } }$$
A) $- \frac { 9 a ^ { 11 } b ^ { 3 } } { 2 }$
B) $\frac { 9 a ^ { 7 } } { 2 b ^ { 3 } }$
C) $- \frac { 9 a ^ { 7 } } { 2 b ^ { 3 } }$
D) $- \frac { 9 b ^ { 3 } } { a ^ { 7 } }$

Question

Quizplus · Accepted Answer

To simplify the expression, divide the coefficients and subtract the exponents of like bases: $-\frac{54}{12} = -\frac{9}{2}$, $a^{9-2} = a^7$, and $b^{6-9} = b^{-3}$. The negative exponent on $b$ moves it to the denominator, resulting in $-\frac{9a^7}{2b^3}$.

Simplify the Expression −54a9b612a2b9\frac { - 54 a ^ { 9 } b ^ { 6 } } { 12 a ^ { 2 } b ^ { 9 } }12a2b9−54a9b6​

Simplify the Expression $\frac { - 54 a ^ { 9 } b ^ { 6 } } { 12 a ^ { 2 } b ^ { 9 } }$