1. The problem is to calculate $15^{14}$, which means multiplying 15 by itself 14 times. 2. The formula for exponentiation is $a^n = a \times a \times \cdots \times a$ ($n$ times). 3. Direct multiplication of $15^{14}$ is very large, so typically a calculator or software is used. 4. Using a calculator, $15^{14} = 11112006825558016$. 5. Therefore, the final answer is: $$15^{14} = 11112006825558016$$