Question

What's the answer of.. 0%20%5C%3A%20b%20%7B%7D%5E%7B2%7D%20%7D%20%20b%20%7B%7D%5E%7B5%7D%20" id="TexFormula1" title=" \frac{4a {}^{2} }{16a {}^{5} \: b {}^{2} } b {}^{5} " alt=" \frac{4a {}^{2} }{16a {}^{5} \: b {}^{2} } b {}^{5} " align="absmiddle" class="latex-formula">

Answer 1

Answer:

$\large\boxed{\dfrac{1}{4}a^{-3}b^3=\dfrac{b^3}{4a^3}}$

Step-by-step explanation:

$\dfrac{4a^2b^5}{16a^5b^2}\qquad\text{use}\ \dfrac{x^n}{x^m}=x^{n-m}\\\\=\dfrac{4}{16}a^{2-5}b^{5-2}=\dfrac{1}{4}a^{-3}b^3\qquad\text{use}\ x^{-n}=\dfrac{1}{x^n}\\\\=\dfrac{b^3}{4a^3}$