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17 February, 00:35

What is the value of n in the equation shown below?

2^2 * 2^n = (2^4) ^3

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  1. 17 February, 00:58
    0
    n=10

    Step-by-step explanation:

    Let's remember that when exponents have the same base (here it is 2), we add the exponents. Therefore, 2^ (2+n) = (2^4) ^3

    Now we will rewrite as 2^ (2+n) = 2^ (4*3) = 2^ (2+n) = 2^12

    Now we have the same base of 2, so we can get rid of them and we have

    2+n=12

    subtract 2 from both sides: n=10
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