Evaluate the expression $\frac{(12 - 1 - 5 - 5)^3}{4}$.

ArithmeticOrder of OperationsFractionsExponents
2025/4/16

1. Problem Description

Evaluate the expression (12155)34\frac{(12 - 1 - 5 - 5)^3}{4}.

2. Solution Steps

First, simplify the expression inside the parentheses:
12155=1155=65=112 - 1 - 5 - 5 = 11 - 5 - 5 = 6 - 5 = 1
Now substitute this value back into the original expression:
(1)34\frac{(1)^3}{4}
Next, evaluate the cube:
13=111=11^3 = 1 * 1 * 1 = 1
So the expression becomes:
14\frac{1}{4}

3. Final Answer

14\frac{1}{4}