Simplify e^(-2x)e^xe^(6x+2)

$e^{- 2 x} \cdot e^{x} \cdot e^{6 x + 2}$

Multiply $e^{- 2 x}$ by $e^{x}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$e^{- 2 x + x} \cdot e^{6 x + 2}$

Add $- 2 x$ and $x$ .

$e^{- x} \cdot e^{6 x + 2}$

Multiply $e^{- x}$ by $e^{6 x + 2}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$e^{- x + 6 x + 2}$

Add $- x$ and $6 x$ .

$e^{5 x + 2}$

Simplify e^(-2x)*e^x*e^(6x+2)