Answer
$9$
Work Step by Step
When one exponential term is divided by another exponential term with the same base, subtract the exponents, keeping the base as-is:
$3^{(3 + \sqrt 5) - (1 + \sqrt 5)}$
Group like terms in the exponent:
$3^{(3 - 1) + (\sqrt 5 - \sqrt 5)}$
Combine like terms:
$3^{2}$
Evaluate the expression:
$9$