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25 July, 00:11

Which expressions are equivalent to the one below? Check all that apply

64^x

A. 8^2*8^x

B. (8*8) ^x

C. 8*8^2x

D. 8*8^x

E. 8^2x

F. 8^x*8^x

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Answers (1)
  1. 25 July, 03:46
    0
    B, E, F

    Step-by-step explanation:

    Equivalent expressions are expressions which are equal. To show expressions are equal, reduce to lowest terms by simplifying using exponent rules.

    A. 8^2*8^x = 8^2+x

    B. (8*8) ^x = 64^x

    C. 8*8^2x = 8^ (2x + 1)

    D. 8*8^x = 8 ^ (x+1)

    E. 8^2x = 64^x

    F. 8^x*8^x = 8^ (x+x) = 8^ (2x) = 64^x
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