Sure, let's simplify the given expression step by step:
### Step 1: Write Down the Given Expression
We start with the given expression:
[tex]\[ \frac{4 a^2 b^2}{2 a^2 b^2} \][/tex]
### Step 2: Factorize Both Numerator and Denominator
The numerator is [tex]\(4 a^2 b^2\)[/tex] and the denominator is [tex]\(2 a^2 b^2\)[/tex].
### Step 3: Cancel Out the Common Factors
Since [tex]\(a^2 b^2\)[/tex] appears in both the numerator and the denominator, we can cancel them:
[tex]\[ \frac{4 a^2 b^2}{2 a^2 b^2} = \frac{4}{2} \][/tex]
### Step 4: Simplify the Remaining Expression
Now, we need to simplify [tex]\(\frac{4}{2}\)[/tex]:
[tex]\[ \frac{4}{2} = 2 \][/tex]
### Final Answer
So, the simplified form of the given expression is:
[tex]\[ 2 \][/tex]
The result is [tex]\(2.0\)[/tex], indicating a straightforward simplification process.
