What is 5/2 x^{-0.5} ?

The solution to 5/2 x^{-0.5} is 5/(2x^{0.5)}

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simplify 5/2 x^{-0.5}

simplify

\frac{5}{2} x^{- 0.5}

\frac{5}{2 x ^{0.5}}

Solution steps

\frac{5}{2} x^{- 0.5}

Apply exponent rule:

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

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

= \frac{5}{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{5 \cdot 1}{2 x ^{0.5}}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5}{2 x ^{0.5}}

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