Question

(left( \frac{5 + 5 \times 5 div 5 - 5}{5}
ight)^5)

Explanation:

Step1: Simplify numerator operations

First, follow order of operations (PEMDAS/BODMAS) in the numerator: \(5 + 5\times5\div5 - 5\). Multiply and divide from left to right: \(5\times5 = 25\), \(25\div5 = 5\). Now the numerator becomes \(5 + 5 - 5\). Then add and subtract: \(5 + 5 = 10\), \(10 - 5 = 5\).

Step2: Simplify the fraction

Now the expression inside the parentheses is \(\frac{5}{5}\), which simplifies to \(1\).

Step3: Apply the exponent

Raise \(1\) to the power of \(5\): \(1^5 = 1\).

Answer:

\(1\)