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10 August, 08:41

What is the value of n in the simplified expression? (4k7) 3 = 4n · (k7) 3 = 64k21

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  1. 10 August, 08:46
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    Given:

    (4k⁷) ³ = 4n (k⁷) ³

    Note that (aˣ) ⁿ = aˣⁿ

    Expand the left and right sides.

    4³k²¹ = 4nk²¹

    Divide each side by k²¹.

    4³ = 4n

    Divide each side by 4.

    4² = n

    Therefore

    n = 4² = 16

    Answer: n = 16
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