Question

Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x and y do not equal zero.

Answer 1

27x^4/5y^2

hope it helps.

Answer 2

`(3)/(5x^(6)y^(6))`

Explanation:

`(-9x^(-1)y^(-9))/(-15x^5y^(-3))`

To simplify the expression , apply exponential property

`(a^m)/(a^n) =a^(m-n)` when the base are same then we subtract the exponents.

`(x^(-1))/(x^5) =x^(-1-5)=x^(-6)`

`(y^(-9))/(y^(-3)) =y^(-9+3)=y^(-6)`

Divide both number by 3

`(3x^(-6)y^(-6))/(5)`

Write the answer with positive exponent

`(3)/(5x^(6)y^(6))`