Maths-
SAT
Easy

Question

If a to the power of negative 1 half end exponent= x, where a > 0, what is a in terms of x?

  1. square root of x
  2. negative square root of x
  3. 1 over x squared
  4. negative 1 over x squared

The correct answer is: 1 over x squared


    a to the power of negative 1 half end exponent equals x
    a to the power of negative 1 half end exponent equals 1 over a to the power of 1 half end exponent equals fraction numerator 1 over denominator square root of a end fraction
    Thus fraction numerator 1 over denominator square root of a end fraction equals x
    x square root of a equals 1
    square root of a equals 1 over x
    a equals 1 over x squared    [ becausesquare of both sides]

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