Which expression is equivalent to (-9x^-1 y^-9) / (-15x^5 y^-3) ? assume x = / 0 y = / 0

The answer is 3/5x^6y^6

Step-by-step explanation:

The given expression is:

-9x^-1 y^-9/-15x^5 y^-3

It can be written as:

= - 9/-15 * x^-1/x^5 * y^-9/y^-3

As we know that [x^m/x^n = x^m-n]

= 3/5 * x^-1-5 * y^-9+3

= 3/5 * x^-6 * y^-6

= 3/5 * 1/x^6 * 1/y^6

= 3/5x^6y^6

The answer is 3/5x^6y^6 ...