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    ​Find the value of 34−10÷347×34−11\text{Find the value of } 34^{-10} \div 34^7 \times 34^{-11}Find the value of&nbs
    Question

    Find the value of 3410÷347×3411\text{Find the value of } 34^{-10} \div 34^7 \times 34^{-11}​​

    A.

    3437 34^{-37} \quad​​

    B.

    3428 34^{-28} \quad​​

    C.

    3434 34^{-34} \quad​​

    D.

    3433 34^{-33}​​

    Correct option is B

    Given:

    3410÷347×341134^{-10} \div 34^7 \times 34^{-11}

    Formula Used:

    am÷\div  an = am-n ,

    am×\times  an = am+n

    Solution: 

    3410÷347×3411 =34107×3411 =3417×3411 =341711 =342834^{-10} \div 34^7 \times 34^{-11} \\ \ \\=34^{-10-7} \times 34^{-11}\\ \ \\=34^{-17} \times 34^{-11}\\ \ \\=34^{-17-11} \\ \ \\=34^{-28}​​

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