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Math Help - Exponents and the Value of X

  1. #1
    Member Rimas's Avatar
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    Exponents and the Value of X

    Let r be the result of doubling both the base and the exponent of a^b, with b not = o. If r equlas the product of a^b and X6b what is the value of x?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Rimas View Post
    Let r be the result of doubling both the base and the exponent of a^b, with b not = o. If r equlas the product of a^b and X6b what is the value of x?
    X6b is supposed to be x^b?

    If so then r = (2a)^(2b) = (a^b)*(x^b)

    [2^(2b)]*[a^(2b)] = (a^b)*(x^b)

    [2^(2b)]*[a^b]^2 = (a^b)*(x^b)

    [2^(2b)]*[a^b] = x^b

    {[2^(2b)]*[a^b]}^(1/b) = x

    x = [2^2]*[a]

    x = 4a

    -Dan
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