Question

Which expression is equivalent to -9x-1y-9/-15x5y-3?

Answer 1

Answer: -9x-1y-9/

Explanation:

Answer 2

The equivalent expression is
`\(-(3)/(5x^6y^(12))\)`, leading to option D as the correct choice.

To simplify the expression
`\(-(9x^(-1)y^(-9))/(-15x^(5)y^(-3))\)`, we can use the rules of exponents and fraction simplification.

1. Combine the Numerators and Denominators:

`\[ -(9x^(-1)y^(-9))/(-15x^(5)y^(-3)) = (9x^(-1)y^(-9))/(15x^(5)y^(-3)) \]`

2. Combine Like Terms:

`\[ = -(3)/(5) \cdot (x^(-1-5))/(y^(9-(-3))) = -(3)/(5) \cdot (1)/(x^6y^(12)) \]`

3. Simplify the Fraction:

`\[ = -(3)/(5x^6y^(12)) \]`

Therefore, the expression is equivalent to
`\(-(3)/(5x^6y^(12))\)`, which corresponds to option D.