TirsaE778463 TirsaE778463
  • 03-11-2022
  • Mathematics
contestada

write x^2 / x^-6 as a product of two factors and as a negative exponent also.

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ImogeneR470141 ImogeneR470141
  • 03-11-2022

The expression is:

[tex]\frac{x^2}{x^{-6}}[/tex]

And for the properties of the exponents we can rewritte the equation for:

[tex]\frac{x^2}{x^{-6}}=x^2\cdot x^6[/tex]

and if we simplify it:

[tex]x^2\cdot x^6=x^8[/tex]

In negative exponets would be like:

[tex]\frac{x^2}{x^{-6}}=\frac{1}{x^{-2}x^{-6}}=\frac{1}{x^{-8}}[/tex]

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