What is 1/2*x^{-1/2} ?

The solution to 1/2*x^{-1/2} is 1/(2x^{1/2)}

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simplify 1/2*x^{-1/2}

simplify

\frac{1}{2} \cdot x^{- \frac{1}{2}}

\frac{1}{2 x ^{\frac{1}{2}}}

Solution steps

\frac{1}{2} x^{- \frac{1}{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= \frac{1}{2} \cdot \frac{1}{x ^{\frac{1}{2}}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 1}{2 x ^{\frac{1}{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 x ^{\frac{1}{2}}}

\frac{csc ( x )}{cot ( x ) sec ( x )}

(2 x^{2} - 3 x + 1) (x^{2} - 4 x - 3)

(a + b)^{- 2}

\frac{z ^{2}}{z + 1} \cdot \frac{z ^{2} + 3 z + 2}{z ^{2} + 3 z}

\frac{2}{x + 1} - \frac{4}{x - 1}