Questions: 14!/(14-1)!14! × .79^1 × .21^(14-1)

Solution Steps

To solve the given expression, we need to evaluate the mathematical expression step by step. The expression involves factorials and powers. First, simplify the factorial part, then calculate the powers, and finally multiply the results together.

The factorial part of the expression is given by:

\[ \frac{14!}{(14-1)! \cdot 1!} = \frac{14!}{13! \cdot 1} = 14 \]

Next, we calculate the power part of the expression:

\[ 0.79^{1} \cdot 0.21^{13} \approx 0.79 \cdot 1.2203 \times 10^{-9} \approx 1.2203 \times 10^{-9} \]

Now, we multiply the results from Step 1 and Step 2:

\[ 14 \cdot 1.2203 \times 10^{-9} \approx 1.7085 \times 10^{-8} \]

Final Answer