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5 votes
What is the value of (-1/2)^-4=

asked
User Itchyny
by
8.3k points

1 Answer

6 votes

Answer:
(1)/(-0.0625)

Explanation:

  • First off,
    (-1)/(2) is the same as -0.5
  • So now we have (-0.5)
  • Now since the power that -0.5 is being multiplied by is negative, we have to remember one of the index laws:


X^(-y) is the same as
(1)/(X^(y) )

  • Therefore, we can say that
    -0.5^(-4) is the same as
    (1)/(-0.5^(4) )
  • Since
    -0.5^(4) =
    -0.625 then the answer is
    (1)/(-0.0625)

Hope this helps! <3

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