what's 1/b^2÷a/b^2 simplified?
so we have\(\frac{ \frac{1}{b^{2}} }{ \frac{a}{b^{2}} }\)
multiply by \(\frac{ \frac{b^{2}}{a} }{ \frac{b^{2}}{a} }\) to make bottom number 1
\(\frac{ \frac{b^{2}}{ab^{2}} }{ \frac{ab^{2}}{ab^{2}} }\)=\(\frac{ \frac{b^{2}}{ab^{2}} }{1}\)=\(\frac{b^{2}}{ab^{2}}\) = \(\frac{1}{a}\)
Use this formula to solve your question:
\(\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} =\frac{ad}{bc}\)
\(\frac{1}{b^2} \div \frac{a}{b^2} = \frac{1}{b^2} \times \frac{b^2}{a} = \frac{b^2}{b^2 \times a} =\boxed{\bf{\frac{1}{a}}}\)
Your final answer is 1/a.