Answer :
I am going to assume that "v" is meant to be a "y"
the answer is b. (3)/(5x^6 y^6)
the answer is b. (3)/(5x^6 y^6)
Answer:
The correct option is b.
Step-by-step explanation:
The given expression is
[tex]\frac{-9x^{-1}y^{-9}}{-15x^5y^{-3}}[/tex]
It can be written as
[tex]\frac{-9}{-15}\times \frac{x^{-1}}{x^5}\times \frac{y^{-9}}{y^{-3}}[/tex]
Using the property of exponent we get
[tex]\frac{3}{5}\times x^{-1-5}\times y^{-9+3}[/tex] [tex][\because \frac{x^m}{x^n}=x^{m-n}][/tex]
[tex]\frac{3}{5}\times x^{-6}\times y^{-6}[/tex]
[tex]\frac{3}{5}\times \frac{1}{x^{6}}\times \frac{1}{y^{6}}[/tex] [tex][\because \frac{1}{x^n}=x^{-n}][/tex]
[tex]\frac{3}{5x^{6}y^{6}}[/tex]
Therefore the correct option is b.