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16 December, 20:01

Why do whole numbers with an exponent get raised but fractions with an exponent get smaller

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  1. 16 December, 23:26
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    See below for explanation ...

    Step-by-step explanation:

    A fraction gets smaller because raising a value to an exponent means multiplying it by itself however many times depending on the exponent.

    EX: 2³ means 2 times itself 3 times, or 2 times 2 times 2 = 8

    With fractions we are multiplying a fraction by itself however many times, so we have a fraction of a fraction, or a piece of a piece, which would keep getting smaller

    EX: (1/4) ³ is one-fourth times itself 3 times, or one-fourth of one-forth of one-forth

    so we get a smaller piece each time ...

    (1/4) ³ = 1/64
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