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Math Help - Simplification

  1. #1
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    Simplification

    Hi!

    Can the following function be simplified any further?

    [(2^0.5)(N^-0.5)]/2

    If the - wasn't around i know it would simplify to (1/2)(sqrt(2N)), but I forget if there is a rule for this...

    Thanks!
    Lisa
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  2. #2
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    You've got:

    \frac{2^\frac{1}{2}}{2 \times n^ \frac{1}{2}} right now (moving the negative exponent to the denominator and making it positive.)

    \frac{2^\frac{1}{2}}{2} simplifies to \frac{1}{2^\frac{1}{2}} (by subtracting the exponents of powers with the same bases).

    This gives, essentially, \frac{1}{\sqrt{2n}}.
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  3. #3
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    I guess I had forgotten (or quite possibly never knew) that N^(-0.5) was the same thing as 1/(N^0.5).
    Thanks for your help!
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  4. #4
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    Yes, negative exponents can be made positive simply by moving them to the other half of the fraction.

    4^{-2} = \frac{1}{4^2}

    and

    \frac{1}{4^{-2}} = 4^2.
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