2!(7-6)!/2!

asked by guest
on Jan 12, 2025 at 6:44 pm



You asked:

Evaluate the expression: \(\frac{2! \cdot \left( 7 - 6 \right)!}{2!}\)

MathBot Answer:

\[\frac{2! \cdot \left( 7 - 6 \right)!}{2!} = 1\]


\[\begin{aligned}\frac{2! \cdot \left( 7 - 6 \right)!}{2!}& = 2! \cdot \left(7 - 6\right)! \cdot \frac{1}{2!}\\& = 2 \cdot \left(7 - 6\right)! \cdot \frac{1}{2!}\\& = 2 \cdot 1! \cdot \frac{1}{2!}\\& = 2 \cdot 1 \cdot \frac{1}{2!}\\& = 2 \cdot \frac{1}{2}\\& = \frac{2}{2}\\& = 1\end{aligned}\]