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Popular >

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

Solution

simplify

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

Solution

cos (x)

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- x} e^{x} = e^{- x + x}

= e^{- x + x} cos (x)

Add similar elements:

- x + x = 0

= e^{0} cos (x)

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 1 \cdot cos (x)

Multiply:

1 \cdot cos (x) = cos (x)

= cos (x)

Popular Examples

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\frac{1}{2} (1.67 \cdot 1 0^{- 23}) (0.079 4^{2})

simplify (1.2)*0.3^{-0.25}*0.9^{-0.75}simplify

(1.2) \cdot 0. 3^{- 0.25} \cdot 0. 9^{- 0.75}

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x e^{- \frac{1}{2} x}

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(6.83 \cdot 1 0^{- 6}) \cdot (3.2 \cdot 1 0^{- 4})^{'}

Frequently Asked Questions (FAQ)

What is e^{-x}(e^xcos(x)) ?
The solution to e^{-x}(e^xcos(x)) is cos(x)