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Popular >

simplify 0.5x^{-1/2}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

0.5 \cdot 1 = 0.5

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

Simplify

\frac{0.5}{x ^{\frac{1}{2}}} : \frac{5}{10 x ^{\frac{1}{2}}}

= \frac{5}{10 x ^{\frac{1}{2}}}

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

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

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Frequently Asked Questions (FAQ)

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