Evaluate the factorial expression. \( \frac{20!}{16!} \) \( \frac{20!}{16!}=\square \)

To simplify \( \frac{20!}{16!} \), we can express \( 20! \) as \( 20 \times 19 \times 18 \times 17 \times 16! \). This allows us to cancel the \( 16! \) from the numerator and denominator. So, we have: \[ \frac{20!}{16!} = \frac{20 \times 19 \times 18 \times 17 \times 16!}{16!} = 20 \times 19 \times 18 \times 17 \] Now, calculating that gives us: \( 20 \times 19 = 380 \) \( 380 \times 18 = 6840 \) \( 6840 \times 17 = 116280 \) Thus, \( \frac{20!}{16!} = 116280 \) or written in the box: \[ \frac{20!}{16!}=\boxed{116280} \]