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

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

Solution steps

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

Apply the fraction rule:

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

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

= \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}}}

30 \cdot 9

\frac{( 6 x ^{2} + 2 x - 20 )}{( 3 x - 5 )}

- \frac{3}{2} + \frac{5}{9}

- 2 m + (3 m + 8) - 5 m + 1

\frac{( 6 x ^{3} - 5 x ^{2} - 13 x + 20 )}{( 3 x + 5 )}