Jordan was given the expression 2×2^-3 x 2^-5 How should he write the expression as a fraction? Describe the exponent rules Jordan should us

Question

Jordan was given the expression 2×2^-3 x 2^-5 How should he write the expression as a fraction? Describe the exponent rules Jordan should use to simplify the expression

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Dulcie 5 years 2021-08-22T03:39:12+00:00 1 Answers 51 views 0

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  1. King
    0
    2021-08-22T03:40:28+00:00
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    Answer:

    2*2^{-3} * 2^{-5} =\frac{1}{128}

    Step-by-step explanation:

    Given

    2*2^{-3} * 2^{-5}

    Required

    Write as a fraction

    To do this, Jordan has to apply the following rules

    Negative Exponent rule:

    a^{-m} = \frac{1}{a^m}

    So, the expression is:

    2*2^{-3} * 2^{-5} = \frac{2}{2^3 * 2^5}

    To solve further, we apply the product rule of exponent

    a^m * a^n = a^{m+n}

    So, the expression is:

    2*2^{-3} * 2^{-5} =\frac{2}{2^{3+5}}

    2*2^{-3} * 2^{-5} =\frac{2}{2^8}

    Evaluate the exponents

    2*2^{-3} * 2^{-5} =\frac{2}{256}

    Divide the numerator and denominator by 2

    2*2^{-3} * 2^{-5} =\frac{2/2}{256/2}

    2*2^{-3} * 2^{-5} =\frac{1}{128}

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