Simplify.
-$\left(\frac{a^{4}}{b^{5}}\right)^{3}$
A) $\frac{a^{12}}{b^{15}}$
B) $\frac{a^{12}}{b^{5}}$
C) $\frac{a^{5}}{b^{15}}$
D) $\frac{a^{15}}{b^{12}}$

Name: Simplify. -$\left(\frac{a^{4}}{b^{5}}\right)^{3}$ A) $\frac{a^{12}}{b^{15}}$ B) $\frac{a^{12}}{b^{5}}$ C) $\frac{a^{5}}{b^{15}}$ D) $\frac{a^{15}}{b^{12}}$
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Question

Quizplus · Accepted Answer

When raising a power to another power, you multiply the exponents. Thus, $(a^{4})^{3} = a^{4*3} = a^{12}$ and $(b^{5})^{3} = b^{5*3} = b^{15}$, resulting in $\frac{a^{12}}{b^{15}}$.

Simplify - (a4b5)3\left(\frac{a^{4}}{b^{5}}\right)^{3}(b5a4​)3 A) a12b15\frac{a^{12}}{b^{15}}b15a12​ B) a12b5\frac{a^{12}}{b^{5}}b5a12​ C) a5b15\frac{a^{5}}{b^{15}}b15a5​ D) a15b12\frac{a^{15}}{b^{12}}b12a15​

Simplify
- $\left(\frac{a^{4}}{b^{5}}\right)^{3}$ A) $\frac{a^{12}}{b^{15}}$ B) $\frac{a^{12}}{b^{5}}$ C) $\frac{a^{5}}{b^{15}}$ D) $\frac{a^{15}}{b^{12}}$