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    ​Find the value of 18−13÷1818×18−3\text{Find the value of } 18^{-13} \div 18^{18} \times 18^{-3}Find the value of&n
    Question

    Find the value of 1813÷1818×183\text{Find the value of } 18^{-13} \div 18^{18} \times 18^{-3}​​

    A.

    184118^{-41} \quad​​

    B.

    183418^{-34} \quad​​

    C.

    182918^{-29} \quad​​

    D.

    1840 18^{-40}​​

    Correct option is B

    Given:

    1813÷1818×18318^{-13} \div 18^{18} \times 18^{-3}

    Formula Used:

    am ÷\div  an = am-n , am×\times an = am + n 

    Solution:

    1813÷1818×18318^{-13} \div 18^{18} \times 18^{-3}
    = 18-13 -18×183\times 18^{-3}

    =18-31×183\times 18^{-3} 

    = 18-31-3 = 18-34

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