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14 March, 15:03

Find n so that the number sentence below is true:

2^3 x 4^3 = 2^3 x 2^n = 2^9

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  1. 14 March, 15:08
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    Answer: n=6

    Step-by-step explanation:

    2^3 x 4^3 = 2^3 x 2^n = 2^9

    (2*2*2) * (4*4*4) = (2x2x2) * 2^n = (2x2x2x2x2x2x2x2x2)

    8 x 64 = 8x 2^n = 512

    512 = 8x 2^n = 512

    divide all through by 8 so that 2^n can stand alone

    512/8 = (8x 2^n) / 8 = 512/8

    64 = 2^n = 64

    express 64 as a base of 2

    2^6 = 2^n = 2^6

    since they all have same base, cancel out the base.

    therefore,

    6=n=6

    n = 6
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