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Popular >

simplify 0.2x^{-1}

Solution

simplify

0.2 x^{- 1}

Solution

\frac{1}{5 x}

Solution steps

0.2 x^{- 1}

Apply exponent rule:

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

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

= 0.2 \cdot \frac{1}{x}

Apply the fraction rule:

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

= \frac{0.2 \cdot 1}{x}

Multiply the numbers:

0.2 \cdot 1 = 0.2

= \frac{0.2}{x}

Simplify

\frac{0.2}{x} : \frac{2}{10 x}

= \frac{2}{10 x}

Cancel the numbers:

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

= \frac{1}{5 x}

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Frequently Asked Questions (FAQ)

What is 0.2x^{-1} ?
The solution to 0.2x^{-1} is 1/(5x)