Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$\frac { \left( 3 x ^ { 3 } y ^ { 5 } \right) ^ { 6 } } { 9 x y ^ { 2 } }$
A) $81 x ^ { 8 } y ^ { 9 }$
B) $81 x ^ { 17 } y ^ { 28 }$
C) $\frac { x ^ { 17 } y ^ { 28 } } { 3 }$
D) $\frac { x ^ { 8 } y ^ { 9 } } { 3 }$

Question

Quizplus · Accepted Answer

First, apply the power of a power rule: $(3x^3y^5)^6 = 3^6x^{18}y^{30}$. Simplify the expression: $\frac{729x^{18}y^{30}}{9xy^2} = 81x^{17}y^{28}$.

Perform the Indicated Operations (3x3y5)69xy2\frac { \left( 3 x ^ { 3 } y ^ { 5 } \right) ^ { 6 } } { 9 x y ^ { 2 } }9xy2(3x3y5)6​

Perform the Indicated Operations $\frac { \left( 3 x ^ { 3 } y ^ { 5 } \right) ^ { 6 } } { 9 x y ^ { 2 } }$