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Yesterday, 13:20

What is the value of k in the product of powers below?

10^-3 x 10 x 10^k = 10^-3 = 1/10^3

A. - 3

B. - 1

C. 0

D. 1

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Answers (1)
  1. Yesterday, 13:35
    0
    B. - 1.

    Step-by-step explanation:

    Note: 10 = 10^1 so:

    10^-3 x 10 x 10^k = 10^ (-3 + 1 + k) = 10^ (k - 2).

    So 10^ (k - 2) = 10 ^ (-3)

    and k - 2 = - 3

    k = 2 - 3 = - 1.
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