Question

Which expression is equivalent to 10x^5y^12/-5x^-2y-6 ? Assume x=0, y=0

Answer 1

For this case we have the following expression:

`\frac{10x^5y^(12)}{-5x^(-2)y{-6}}`
Rewriting the expression we have:

`\frac{-2x^5y^(12)}{x^(-2)y{-6}}`
Then, by properties of exponents we have:
"In a division, if we have the same base, the exponents are subtracted"
We have then:

`-2x^(5-(-2))y^(12-(-6)) -2x^(5+2)y^(12+6) -2x^(7)y^(18)`
Answer:
An expression that is equivalent is:

`-2x^(7)y^(18)`