Simplify (e^(1/2))(e^(1/2))

$(e^{\frac{1}{2}}) (e^{\frac{1}{2}})$

Multiply $e^{\frac{1}{2}}$ by $e^{\frac{1}{2}}$ by adding the exponents.

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

$e^{\frac{1}{2} + \frac{1}{2}}$

Combine the numerators over the common denominator.

$e^{\frac{1 + 1}{2}}$

Add $1$ and $1$ .

$e^{\frac{2}{2}}$

Divide $2$ by $2$ .

$e^{1}$

Simplify $e^{1}$ .

$e$

The result can be shown in multiple forms.

Exact Form:

$e$

Decimal Form:

$2.71828182 \dots$