Algebra Examples

$e^{x} \cdot e^{- 3 x} \cdot e^{4}$

Step 1

Multiply $e^{x}$ by $e^{- 3 x}$ by adding the exponents.

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Step 1.1

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

$e^{x - 3 x} \cdot e^{4}$

Step 1.2

Subtract $3 x$ from $x$ .

$e^{- 2 x} \cdot e^{4}$

Step 2

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

$e^{- 2 x + 4}$