Simplify.
-$\left(\frac{\mathrm{a}^{2}}{\mathrm{~b}^{3}}\right)^{3}$
A) $\frac{a^{6}}{b^{3}}$
B) $\frac{a^{6}}{b^{9}}$
C) $\frac{\mathrm{a}^{9}}{\mathrm{~b}^{6}}$
D) $\frac{a^{3}}{b^{9}}$

Question

Quizplus · Accepted Answer

When raising a power to a power, you multiply the exponents. Thus, $\left(\frac{a^{2}}{b^{3}}\right)^{3} = \frac{a^{2*3}}{b^{3*3}} = \frac{a^{6}}{b^{9}}$.

Simplify - (a2 b3)3\left(\frac{\mathrm{a}^{2}}{\mathrm{~b}^{3}}\right)^{3}( b3a2​)3 A) a6b3\frac{a^{6}}{b^{3}}b3a6​ B) a6b9\frac{a^{6}}{b^{9}}b9a6​ C) a9 b6\frac{\mathrm{a}^{9}}{\mathrm{~b}^{6}} b6a9​ D) a3b9\frac{a^{3}}{b^{9}}b9a3​

Simplify
- $\left(\frac{\mathrm{a}^{2}}{\mathrm{~b}^{3}}\right)^{3}$ A) $\frac{a^{6}}{b^{3}}$ B) $\frac{a^{6}}{b^{9}}$ C) $\frac{\mathrm{a}^{9}}{\mathrm{~b}^{6}}$ D) $\frac{a^{3}}{b^{9}}$