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Popular >

simplify 3^{-1}0.2^{-1}

Solution

simplify

3^{- 1} 0. 2^{- 1}

Solution

\frac{5}{3}

+1

Decimal Notation

1.66666 \dots

Solution steps

3^{- 1} \cdot 0. 2^{- 1}

Apply exponent rule:

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

3^{- 1} = \frac{1}{3}

= \frac{1}{3} \cdot 0. 2^{- 1}

Apply exponent rule:

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

0. 2^{- 1} = \frac{1}{0.2}

= \frac{1}{3} \cdot \frac{1}{0.2}

Divide the numbers:

\frac{1}{0.2} = 5

= \frac{1}{3} \cdot 5

\frac{1}{3} \cdot 5 = \frac{5}{3}

= \frac{5}{3}

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Frequently Asked Questions (FAQ)

What is 3^{-1}0.2^{-1} ?
The solution to 3^{-1}0.2^{-1} is 5/3