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]
