For this case we have the following expression:
[tex] \frac{10x^5y^{12}}{-5x^{-2}y{-6}}
[/tex]
Rewriting the expression we have:
[tex] \frac{-2x^5y^{12}}{x^{-2}y{-6}} [/tex]
Then, by properties of exponents we have:
"In a division, if we have the same base, the exponents are subtracted"
We have then:
[tex]-2x^{5-(-2)}y^{12-(-6)}
-2x^{5+2}y^{12+6}
-2x^{7}y^{18}
[/tex]
Answer:
An expression that is equivalent is:
[tex]-2x^{7}y^{18}[/tex]
