Simplify. (A ssume all variables are nonzero.)
-$\left(\frac{2 \mathrm{a}^{3} \mathrm{~b}^{3}}{\mathrm{c}^{4}}\right)^{3}$

A) $\frac{8 a^{9} b^{9}}{c^{12}}$

B) $\frac{2 a^{9} b^{9}}{c^{12}}$

C) $\frac{2 \mathrm{a}^{9} \mathrm{~b}^{9}}{\mathrm{c}^{7}}$

D) $\frac{8 a^{6} b^{6}}{c^{7}}$

Question

Simplify. (A ssume all variables are nonzero.)
-$\left(\frac{2 \mathrm{a}^{3} \mathrm{~b}^{3}}{\mathrm{c}^{4}}\right)^{3}$

A) $\frac{8 a^{9} b^{9}}{c^{12}}$

B) $\frac{2 a^{9} b^{9}}{c^{12}}$

C) $\frac{2 \mathrm{a}^{9} \mathrm{~b}^{9}}{\mathrm{c}^{7}}$

D) $\frac{8 a^{6} b^{6}}{c^{7}}$

Quizplus · Accepted Answer

When raising a power to another power, you multiply the exponents. Thus, $\left(\frac{2a^3b^3}{c^4}\right)^3 = \frac{2^3(a^3)^3(b^3)^3}{(c^4)^3} = \frac{8a^9b^9}{c^{12}}$.

Simplify (A Ssume All Variables Are Nonzero (2a3 b3c4)3\left(\frac{2 \mathrm{a}^{3} \mathrm{~b}^{3}}{\mathrm{c}^{4}}\right)^{3}(c42a3 b3​)3 A) 8a9b9c12\frac{8 a^{9} b^{9}}{c^{12}}c128a9b9​

Simplify (A Ssume All Variables Are Nonzero $\left(\frac{2 \mathrm{a}^{3} \mathrm{~b}^{3}}{\mathrm{c}^{4}}\right)^{3}$ A) $\frac{8 a^{9} b^{9}}{c^{12}}$