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    ​Find the value of 80−2÷8015×80−10\text{Find the value of } 80^{-2} \div 80^{15} \times 80^{-10}Find the value of&n
    Question

    Find the value of 802÷8015×8010\text{Find the value of } 80^{-2} \div 80^{15} \times 80^{-10}​​

    A.

    8020 80^{-20} \quad​​

    B.

    8019 80^{-19} \quad​​

    C.

    8026 80^{-26} \quad​​

    D.

    8027 80^{-27}

    Correct option is D

    Given:
    802÷8015×801080^{-2} \div 80^{15} \times 80^{-10}
    Formula Used:

    am÷an=amn,am×an=am+n,ak=1aka^m \div a^n = a^{m-n},a^m \times a^n = a^{m+n}, a^{-k} = \dfrac{1}{a^k} ​​

    Solution:
    802÷8015×8010=80215×801080^{-2} \div 80^{15}\times 80^{-10} = 80^{-2-15} \times 80^{-10}​​
    8017×8010=801710=802780^{-17} \times 80^{-10} = 80^{-17-10} = 80^{-27}​​

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