What is 5/(sqrt(x))x^{-1} ?

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

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simplify 5/(sqrt(x))x^{-1}

simplify

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

\frac{5}{x x}

Solution steps

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

Apply exponent rule:

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

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

= \frac{5}{x} \cdot \frac{1}{x}

Apply the fraction rule:

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

= \frac{5 \cdot 1}{x x}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{5}{x x}

\frac{x + 1}{x - 1}

e^{- s t} (e^{t})

(a^{2} b^{4}) (a^{5} b)

s (s + 1)^{2} (s + 10)^{2}