Respuesta :

Answer:

x^6-9 = x^-3 = 1/x^2

Step-by-step explanation:

Hi! I'm happy to help!

To solve this, we need to simplify this expression as much as possible. We see that in the exponent, we have the expression 6-9, which we can substitute for -3.

[tex]x^{6-9}[/tex]

[tex]x^{-3}[/tex]

To further simplify, we need to find out what [tex]x^{-3}[/tex] is. Whenever using a negative exponent, follow this equation.

[tex]x^{-y}[/tex]=[tex]\frac{1}{x^{y} }[/tex]

Using this, we can turn [tex]x^{-3}[/tex], into [tex]\frac{1}{x^{3}}[/tex]. Since we do no know what x is, we cannot simplify any further.

To sum it up, [tex]\frac{1}{x^{3}}[/tex] is an equivalent expression for [tex]x^{6-9}[/tex].

I hope this was helpful, keep learning! :D