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    Find the value of (107×103)÷(103×102)]÷105(10^7 \times 10^3) \div (10^3 \times 10^2)] \div 10^5(107×103)÷(103×102)]÷105​
    Question

    Find the value of (107×103)÷(103×102)]÷105(10^7 \times 10^3) \div (10^3 \times 10^2)] \div 10^5

    A.

    100

    B.

    200

    C.

    2

    D.

    1

    Correct option is D

    (107×103)÷(103×102)]÷105(10^7 \times 10^3) \div (10^3 \times 10^2)] \div 10^5​​

    Numerator:107×103=101010^7 \times 10^3 = 10^{10}
    Denominator inside brackets:

    103×102=10510^3 \times 10^2 = 10^5

    So now:

    (1010÷105)÷105=105÷105=1055=100=1(10^{10} \div 10^5) \div 10^5 = 10^5 \div 10^5 = 10^{5 - 5} = 10^0 = 1

    Thus the correct answer is option D) 1

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