What is e^{2x}e^{-2x}*(1+e^{2x}) ?

The solution to e^{2x}e^{-2x}*(1+e^{2x}) is e^{2x}+1

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

simplify

e^{2 x} e^{- 2 x} \cdot (1 + e^{2 x})

e^{2 x} + 1

Solution steps

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

Apply exponent rule:

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

e^{2 x} e^{- 2 x} = e^{2 x - 2 x}

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

Add similar elements:

2 x - 2 x = 0

= e^{0} (1 + e^{2 x})

Apply rule

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

e^{0} = 1

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

Multiply:

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

= (1 + e^{2 x})

Remove parentheses:

(a) = a

= 1 + e^{2 x}

100 e^{- 0.005}

- 6.9 x 1 0^{- 2}

(4^{^{'}})^{2}

9.65 x 1 0^{- 2}

\frac{( e ^{x} )}{e ^{y}}

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