Algebra Examples

$e^{2 x} \cdot e^{5} \cdot e^{x - 2}$

Step 1

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

$e^{2 x + 5} \cdot e^{x - 2}$

Step 2

Multiply $e^{2 x + 5}$ by $e^{x - 2}$ by adding the exponents.

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Step 2.1

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

$e^{2 x + 5 + x - 2}$

Step 2.2

Add $2 x$ and $x$ .

$e^{3 x + 5 - 2}$

Step 2.3

Subtract $2$ from $5$ .

$e^{3 x + 3}$