What is (e^x)(e^{-x})(4e^{4x}) ?

The solution to (e^x)(e^{-x})(4e^{4x}) is 4e^{4x}

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simplify (e^x)(e^{-x})(4e^{4x})

simplify

(e^{x}) (e^{- x}) (4 e^{4 x})

4 e^{4 x}

Solution steps

(e^{x}) (e^{- x}) (4 e^{4 x})

Apply exponent rule:

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

e^{x} e^{- x} e^{4 x} = e^{x - x + 4 x}

= 4 e^{x - x + 4 x}

Add similar elements:

x - x + 4 x = 4 x

= 4 e^{4 x}

e^{- 4 x} sin (5 x)

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

5^{2^{3}} 0. 5^{- 6}

What is (e^x)(e^{-x})(4e^{4x}) ?
The solution to (e^x)(e^{-x})(4e^{4x}) is 4e^{4x}