Answer
$9$
Work Step by Step
When we raise a power to a power, we multiply the powers together and keep the base. Let's multiply the exponent of each term by the exponent outside of the parentheses:
$(3^{(7)(2)})(3^{(-4)(3)})$
Multiply the exponents:
$(3^{14})(3^{-12})$
We cannot leave the answer this way with negative exponents. When we multiply two numbers that have the same base but different exponents, we keep the base as-is and add the exponents:
$3^{2}$
Evaluate the exponent:
$9$
