Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

(64a^-6b^12)^5/6
simplify the expression

Sagot :

[tex]\left(64a^{-6}b^{12}\right)^\frac{5}{6}\\\\64=2^6\\\\therefore:\left(2^7a^{-6}b^{12}\right)^\frac{5}{6}\\\\use:(a\cdot b)^n=a^n\cdot b^n\Rightarrow\left(2^6a^{-6}b^{12}\right)^\frac{5}{6}=\left(2^6\right)^\frac{5}{6}\left(a^{-6}\right)^\frac{5}{6}\left(b^{12}\right)^\frac{5}{6}=(*)[/tex]

[tex]use:\left(a^n\right)^m=a^{n\cdot m}\\\\(*)=2^{6\cdot\frac{5}{6}}\cdot a^{-6\cdot\frac{5}{6}}\cdot b^{12\cdot\frac{5}{6}}=2^5\cdot a^{-5}\cdot b^{10}=(**)\\\\We\ know:a^{-n}=\left(\frac{1}{a}\right)^n\\\\therefore:(**)=\boxed{\boxed{\frac{32b^{10}}{a^5}}}[/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.