Simplify. (A ssume all variables are nonzero.)
-$\left(\frac{a^{3} b^{6}}{b^{2} c^{3}}\right)^{6}$

A) $\frac{a^{18}}{c^{18}}$

B) 0

C) $\frac{a^{18} b^{24}}{c^{18}}$

D) $\frac{\mathrm{a}^{9} \mathrm{~b}^{24}}{\mathrm{c}^{9}}$

Question

Simplify. (A ssume all variables are nonzero.)
-$\left(\frac{a^{3} b^{6}}{b^{2} c^{3}}\right)^{6}$

A) $\frac{a^{18}}{c^{18}}$

B) 0

C) $\frac{a^{18} b^{24}}{c^{18}}$

D) $\frac{\mathrm{a}^{9} \mathrm{~b}^{24}}{\mathrm{c}^{9}}$

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses: $\left(\frac{a^{3} b^{6}}{b^{2} c^{3}}\right) = a^{3} b^{4} c^{-3}$. Raising this to the 6th power gives $a^{18} b^{24} c^{-18}$, which matches choice C: $\frac{a^{18} b^{24}}{c^{18}}$.

Simplify (A Ssume All Variables Are Nonzero (a3b6b2c3)6\left(\frac{a^{3} b^{6}}{b^{2} c^{3}}\right)^{6}(b2c3a3b6​)6 A) a18c18\frac{a^{18}}{c^{18}}c18a18​

Simplify (A Ssume All Variables Are Nonzero $\left(\frac{a^{3} b^{6}}{b^{2} c^{3}}\right)^{6}$ A) $\frac{a^{18}}{c^{18}}$