What is 1/2 x^{-0.5} ?

The solution to 1/2 x^{-0.5} is 1/(2x^{0.5)}

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simplify 1/2 x^{-0.5}

simplify

\frac{1}{2} x^{- 0.5}

\frac{1}{2 x ^{0.5}}

Solution steps

\frac{1}{2} x^{- 0.5}

Apply exponent rule:

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

x^{- 0.5} = \frac{1}{x ^{0.5}}

= \frac{1}{2} \cdot \frac{1}{x ^{0.5}}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{2 x ^{0.5}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 x ^{0.5}}

(5 - x^{2}) (3 + x)

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e^{- x} \cdot x

6 \times 6 \times 6