Question

Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x is not equal to 0,y is not equal to 0

Answer 1

I am going to assume that "v" is meant to be a "y"
the answer is b. (3)/(5x^6 y^6)

Answer 2

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.