collin432
collin432 collin432
  • 20-01-2021
  • Mathematics
contestada

What is the value of the expression (1/6)^-1? Write your answer as simplified as possible.

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SkiffMackinaw SkiffMackinaw
  • 20-01-2021

Answer:

[tex]6[/tex]

Step-by-step explanation:

Recall that [tex]a^{-b}=\frac{1}{a^b}[/tex]. Therefore, any number [tex]n[/tex] raised to the power of [tex]-1[/tex] will be  [tex]\frac{1}{n^1}=\frac{1}{n}[/tex] (the reciprocal of that number).

Thus, the value of the expression [tex]\left (\frac{1}{6}\right)^{-1}[/tex] is:

[tex]\left (\frac{1}{\frac{1}{6}}\right )=\fbox{$6$}[/tex].

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