DevariousI135564 DevariousI135564
  • 30-10-2022
  • Mathematics
contestada

Evaluate -(3^-5)(3^3)

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EverlyseC279738 EverlyseC279738
  • 30-10-2022

ANSWER

[tex]\frac{-1}{9}[/tex]

EXPLANATION

We want to simplify:

[tex]-(3^{-5})(3^3)[/tex]

Because the base of both numbers is the same (3), we can add the powers together:

[tex]\begin{gathered} -(3^{-5\text{ + 3}}) \\ -(3^{-2}) \end{gathered}[/tex]

This is the same as:

[tex]\frac{-1}{3^2}\text{ = }\frac{-1}{9}[/tex]

That is the answer.

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