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12 May, 23:02

What number to the power of - 2 gives you (4/25)

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  1. 13 May, 02:44
    0
    x = - 5/2, 5/2

    Step-by-step explanation:

    x^ - 2 = 4/25

    negative exponents means flip from numerator to denominator (or vice versa)

    (1/x) ^2 = 4/25

    take the square root of each side (remember you get a positive and negative result)

    sqrt (1/x) = sqrt (4/25)

    1/x = + 2/5 1/x = - 2/5

    multiply each side by x

    1 = + 2/5 x 1 = - 2/5 x

    multiply by 5/2 multiply by - 5/2

    5/2 = + 2/5 x * 5/2 - 5/2 = - 2/5 x * - 5/2

    5/2 = + x - 5/2 = x

    x = 5/2, - 5/2
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