Question

Fully simplify the following:
4
÷
4
⋅
2
⋅
2
÷
(
15
−
13
)
4÷4⋅2⋅2÷(15−13)

Answer 1

Let's simplify the expression step-by-step:

The expression is:

\[
4 \div 4 \cdot 2 \cdot 2 \div (15 - 13)
\]

1. Start by simplifying the parentheses:
\[
15 - 13 = 2
\]

Now, substitute back into the expression:
\[
4 \div 4 \cdot 2 \cdot 2 \div 2
\]

2. Now, perform the division and multiplication from left to right:

First, calculate \(4 \div 4\):
\[
4 \div 4 = 1
\]

Now our expression is:
\[
1 \cdot 2 \cdot 2 \div 2
\]

3. Next, calculate \(1 \cdot 2\):
\[
1 \cdot 2 = 2
\]

So now we have:
\[
2 \cdot 2 \div 2
\]

4. Next, calculate \(2 \cdot 2\):
\[
2 \cdot 2 = 4
\]

Now our expression is:
\[
4 \div 2
\]

5. Finally, calculate \(4 \div 2\):
\[
4 \div 2 = 2
\]

Thus, the fully simplified expression is:

\[
\boxed{2}
\]