Question

Please help asap!!!

Which expression is equivalent to -9x^-1y^-9/-15^5y^-3
A.3/5x^5y^3
B.3/5x^6y^6
C.5/3x^5y^3
D.5/3x^6y^6

Answer 1

The answer is
`(3)/(5x^6y^6)`.

Our original expression was

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

Negative exponents tell us to switch sides of the fraction; therefore they get moved as such:


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

We can reduce the fraction we have:

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

Using the product property of exponents we can combine the exponents on the denominator:

`(3y^3)/(5x^6y^9)`

Using the division property of exponents, we subtract the exponents of y and get:

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