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Which expression is equivalent to (8^2)^-4
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5 votes
Which expression is equivalent to (8^2)^-4

Which expression is equivalent to (8^2)^-4-example-1
User Bricca
by
5.1k points

1 Answer

5 votes

Answer:

C:
(1)/(8*8*8*8*8*8*8*8)

Explanation:


a^(-n) = (1)/(a^n)

Since a =
8^2 :


(8^2)^(-n) = (1)/((8^2)^n) =(1)/(8^(2n))

Since n = 4 :


(8^2)^(-4) =(1)/(8^(2*4))=(1)/(8^(8))=(1)/(8*8*8*8*8*8*8*8)

User Ricker Silva
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