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Popular >

simplify (2/(3x+1))^{-1}

Solution

simplify

(\frac{2}{3 x + 1})^{- 1}

Solution

\frac{3 x + 1}{2}

Solution steps

(\frac{2}{3 x + 1})^{- 1}

Apply exponent rule:

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

(\frac{2}{3 x + 1})^{- 1} = \frac{1}{\frac{2}{3 x + 1}}

= \frac{1}{\frac{2}{3 x + 1}}

Apply the fraction rule:

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

= \frac{3 x + 1}{2}

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Frequently Asked Questions (FAQ)

What is (2/(3x+1))^{-1} ?
The solution to (2/(3x+1))^{-1} is (3x+1)/2