Nirmql
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Power and exponent

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Ques.14. if 10 raised to power 2y = 25 then 10 raised to power -y =?

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2 Answers

  1. 10^2y =10×10×y=100y
    100y=25
    Y=25÷100=1\4
    10^-y=-10y^1×1\4
    Y=-10×1\4=-0.25

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  2. (10)^2y = 25

    So,

    [(10)^y]^2 = 25

    and

    (10)^y = square root (25) = 5

    Therefore,

    [10]^(-y) = 1/5

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