Answer:
The correct option is b.
Step-by-step explanation:
The given expression is
\(\frac{-9x^{-1}y^{-9}}{-15x^5y^{-3}}\)
It can be written as
\(\frac{-9}{-15}\times \frac{x^{-1}}{x^5}\times \frac{y^{-9}}{y^{-3}}\)
Using the property of exponent we get
\(\frac{3}{5}\times x^{-1-5}\times y^{-9+3}\) \([\because \frac{x^m}{x^n}=x^{m-n}]\)
\(\frac{3}{5}\times x^{-6}\times y^{-6}\)
\(\frac{3}{5}\times \frac{1}{x^{6}}\times \frac{1}{y^{6}}\) \([\because \frac{1}{x^n}=x^{-n}]\)
\(\frac{3}{5x^{6}y^{6}}\)
Therefore the correct option is b.
