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    Find the value of: 26⁻¹⁹ ÷ 26¹⁸ × 26³
    Question

    Find the value of: 26⁻¹⁹ ÷ 26¹⁸ × 26³

    A.

    26⁻³⁵

    B.

    26⁻⁴⁰

    C.

    26⁻³⁴

    D.

    26⁻⁴⁵

    Correct option is C

    Given: 

    26⁻¹⁹ ÷ 26¹⁸ × 26³ 

    Concept Used: ​

    ma÷mb=mab ma×mb=ma+bm^a \div m^b = m^{a-b} \\ \ \\ m^a\times m^b = m^{a+b} 

    Solution: 

    2619÷2618×263  =261918+3 =2634 26⁻¹⁹ ÷ 26¹⁸ × 26³ \\ \ \\\ = 26^{-19 -18 +3} \\ \ \\ = 26^{-34}​​

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