Calculus Examples

$(3^{2 + \sqrt{5}}) (3^{2 - \sqrt{5}})$

Step 1

Multiply $3^{2 + \sqrt{5}}$ by $3^{2 - \sqrt{5}}$ 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.

$3^{2 + \sqrt{5} + 2 - \sqrt{5}}$

Step 1.2

Add $2$ and $2$ .

$3^{4 + \sqrt{5} - \sqrt{5}}$

Step 1.3

Subtract $\sqrt{5}$ from $\sqrt{5}$ .

$3^{4 + 0}$

Step 1.4

Add $4$ and $0$ .

$3^{4}$

Step 2

Raise $3$ to the power of $4$ .

$81$