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Popular >

simplify e^{-2x}(1+e^{4x})

Solution

simplify

e^{- 2 x} (1 + e^{4 x})

Solution

\frac{e ^{4 x} + 1}{e ^{2 x}}

Solution steps

e^{- 2 x} (1 + e^{4 x})

Apply exponent rule:

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

= \frac{1}{e ^{2 x}} (e^{4 x} + 1)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( 1 + e ^{4 x} )}{e ^{2 x}}

1 \cdot (1 + e^{4 x}) = 1 + e^{4 x}

= \frac{1 + e ^{4 x}}{e ^{2 x}}

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Frequently Asked Questions (FAQ)

What is e^{-2x}(1+e^{4x}) ?
The solution to e^{-2x}(1+e^{4x}) is (e^{4x}+1)/(e^{2x)}