18-[8÷2{8÷(4×2)}]
You asked:
Evaluate the expression: \(18 - \frac{8}{2 \cdot \frac{8}{4 \cdot 2}}\)
MathBot Answer:
\[18 - \frac{8}{2 \cdot \frac{8}{4 \cdot 2}} = 14\]
\[\begin{aligned}18 - \frac{8}{2 \cdot \frac{8}{4 \cdot 2}}& = 18 - 8 \cdot \frac{1}{2 \cdot 8 \cdot \frac{1}{4 \cdot 2}}\\& = 18 - 8 \cdot \frac{1}{2 \cdot \frac{8}{8}}\\& = 18 - 8 \cdot \frac{1}{2 \cdot 1}\\& = 18 - \frac{8}{2}\\& = 18 - 4\\& = 14\end{aligned}\]