What is 2.5x^{-1/2} ?

The solution to 2.5x^{-1/2} is 5/(2x^{1/2)}

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simplify 2.5x^{-1/2}

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

= 2.5 \cdot \frac{1}{x ^{\frac{1}{2}}}

Apply the fraction rule:

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

= \frac{2.5 \cdot 1}{x ^{\frac{1}{2}}}

Multiply the numbers:

2.5 \cdot 1 = 2.5

= \frac{2.5}{x ^{\frac{1}{2}}}

Simplify

\frac{2.5}{x ^{\frac{1}{2}}} : \frac{25}{10 x ^{\frac{1}{2}}}

= \frac{25}{10 x ^{\frac{1}{2}}}

Cancel

\frac{25}{10 x ^{\frac{1}{2}}} : \frac{5}{2 x ^{\frac{1}{2}}}

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

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