Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\frac{\left(3 x^{4} y^{2}\right)^{6}}{9 x y^{2}}$

A) $\frac{x^{9} y^{6}}{3}$

B) $\frac{x^{23} y^{10}}{3}$

C) $81 x^{23} y^{10}$

D) $81 x^{9} y^{6}$

Question

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.
-$\frac{\left(3 x^{4} y^{2}\right)^{6}}{9 x y^{2}}$

A) $\frac{x^{9} y^{6}}{3}$

B) $\frac{x^{23} y^{10}}{3}$

C) $81 x^{23} y^{10}$

D) $81 x^{9} y^{6}$

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses and then apply the exponent of 6: $(3x^4y^2)^6 = 3^6x^{24}y^{12}$. Then, divide by the denominator: $\frac{3^6x^{24}y^{12}}{9xy^2} = \frac{729x^{24}y^{12}}{9xy^2} = 81x^{23}y^{10}$.

Simplify the Expression So That No Negative Exponents Appear in the Final