Final answer:
To simplify the expression -9x^-1y^-9/-15x^5y^-3, apply the rule of exponents for dividing variables with the same base and then substitute x = 0 and y = 0.
Step-by-step explanation:
To simplify the expression -9x-1y-9/-15x5y-3, we can use the rule of exponents. When dividing variables with the same base, we subtract the exponents. So, we have (-9/-15)x(-1-5)y(-9-(-3)). Simplifying further, we get 3/5x-6y-6.
Then, substituting x = 0 and y = 0 into the expression, we have (3/5)(0)-6(0)-6. Any number raised to the power of -6 is equivalent to its reciprocal raised to the power of 6. So, we get (3/5)(1/0)6(1/0)6. Since division by zero is undefined, the expression is undefined when x = 0 and y = 0.