Write this expression with a positive exponent and then simplify. 9a^-1

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Question

Write this expression with a positive exponent and then simplify.
9a^-1

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Math Alice 4 months 2022-01-10T10:50:04+00:00 2022-01-10T10:50:04+00:00 1 Answer 0 views 0

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Rose · Answer 1 · 2022-01-10T10:51:40+00:00

When you have a negative exponent, you move the base with the negative exponent to the other side of the fraction to make the exponent positive.

For example:

[tex]5^{-2}[/tex] or [tex]\frac{5^{-2}}{1}=\frac{1}{5^2} =\frac{1}{25}[/tex]

[tex]\frac{1}{x^{-4}}=\frac{x^4}{1}[/tex] or [tex]x^4[/tex]

[tex]3x^{-5}[/tex] or [tex]3^1x^{-5}=\frac{3}{x^5}[/tex]

[tex]9a^{-1}[/tex] Make the exponent positive

[tex]\frac{9}{a}[/tex] (this is as far as you can simplify)