liyahsmith9893 liyahsmith9893
  • 29-12-2021
  • Mathematics
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which expression represents 1/9 to the 6 power using a negative exponent?

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chetankachana
chetankachana chetankachana
  • 29-12-2021

Answer:

[tex]3^{-12}[/tex]

Step-by-step explanation:

Let's rewrite 1/9 as a number write a negative exponent

[tex]\frac1{9} = 3^{-2}[/tex]

Now we need to do [tex](3^{-2})^6[/tex]

Using the law of exponent  [tex](a^x)^b = a^{xb}[/tex],

[tex](3^{-2})^6 = 3^{-12}[/tex]

-Chetan K

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