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Popular >

simplify (e^x-e^{-x})^{-1}

Solution

simplify

(e^{x} - e^{- x})^{- 1}

Solution

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

Solution steps

(e^{x} - e^{- x})^{- 1}

Apply exponent rule:

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

= \frac{1}{( e ^{x} - e ^{- x} )}

Remove parentheses:

(a) = a

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

Popular Examples

simplify 10^{-7}*1e^9 simplify

1 0^{- 7} \cdot 1 e^{9}

simplify 3.43*10^{-5}simplify

3.43 \cdot 1 0^{- 5}

expand (5y)^{4/7}expand

(5 y)^{\frac{4}{7}}

simplify 10a^2m^{a+1}n^2 simplify

10 a^{2} m^{a + 1} n^{2}

simplify 1.6*10^{-19}x^{19}simplify

1.6 \cdot 1 0^{- 19} x^{19}

Frequently Asked Questions (FAQ)

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