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Popular >

simplify 0.1(8/3)^{-1}

Solution

simplify

0.1 (\frac{8}{3})^{- 1}

Solution

\frac{3}{80}

+1

Decimal Notation

0.0375

Solution steps

0.1 (\frac{8}{3})^{- 1}

Apply exponent rule:

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

(\frac{8}{3})^{- 1} = \frac{1}{\frac{8}{3}}

= 0.1 \cdot \frac{1}{\frac{8}{3}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 0.1 \cdot \frac{3}{8}

0.1 = \frac{1}{10}

= \frac{1}{10} \cdot \frac{3}{8}

\frac{1}{10} \cdot \frac{3}{8} = \frac{3}{80}

= \frac{3}{80}

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Frequently Asked Questions (FAQ)

What is 0.1(8/3)^{-1} ?
The solution to 0.1(8/3)^{-1} is 3/80