Describe how (2^3)(2^-4) can be simplified.

Question

Describe how (2^3)(2^-4) can be simplified.

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Ella 12 mins 2021-09-13T14:01:16+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T14:02:19+00:00

    Answer:

    2^ (-1)

    1/2

    Step-by-step explanation:

    Add the exponents which have common bases.

    3 + (-4) = -1

    2^ (-1)

    1 / 2

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    0
    2021-09-13T14:02:39+00:00

    Answer:

    The simplified form of the provided expression is 2^{-1}\ or\ \frac{1}{2}

    Step-by-step explanation:

    Consider the provided expression:

    (2^3)(2^{-4})

    Use the product rule of exponent:

    a^m \cdot a^n=a^{m+n}

    Now use the above formula to simplify the provided expression.

    (2^3)(2^{-4})=2^{3+(-4)}

    (2^3)(2^{-4})=2^{3-4}

    (2^3)(2^{-4})=2^{-1}

    Hence, the simplified form of the provided expression is 2^{-1}\ or\ \frac{1}{2}

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