Simplify e^(2x)e^5e^(x-2)

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

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.

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

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

Add $2 x$ and $x$ .

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

Subtract $2$ from $5$ .

$e^{3 x + 3}$

Simplify e^(2x)*e^5*e^(x-2)