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

The solution to simplify-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 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{30}{150}

- 4 x^{2} - 12 x - 8

\frac{30}{105}

\frac{5}{6} + \frac{3}{5}

5 x^{2} - 42 x - 27

What is simplify-1/2 x^{-1/2} ?
The solution to simplify-1/2 x^{-1/2} is -1/(2x^{1/2)}