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Popular >

simplify 2(2/5)^{-1}

Solution

simplify

2 (\frac{2}{5})^{- 1}

Solution

5

Solution steps

2 (\frac{2}{5})^{- 1}

Apply exponent rule:

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

(\frac{2}{5})^{- 1} = \frac{1}{\frac{2}{5}}

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

Apply the fraction rule:

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

= 2 \cdot \frac{5}{2}

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

= \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= 5

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Frequently Asked Questions (FAQ)

What is 2(2/5)^{-1} ?
The solution to 2(2/5)^{-1} is 5