Simplify : `(0.08)^(2)div0.4`

Answer

To simplify the expression \((0.08)^2 \div 0.4\), we can follow these steps:

### Step 1: Write the expression in a clearer form
We start with the expression:
\[ (0.08)^2 \div 0.4 \]
This can be rewritten as:
\[ \frac{(0.08)^2}{0.4} \]

### Step 2: Calculate \((0.08)^2\)
Now, we calculate \((0.08)^2\):
\[ 0.08 \times 0.08 = 0.0064 \]

### Step 3: Substitute back into the expression
Now we substitute this value back into the expression:
\[ \frac{0.0064}{0.4} \]

### Step 4: Convert to fraction for easier division
To simplify \(\frac{0.0064}{0.4}\), we can convert both numbers to fractions:
\[ 0.0064 = \frac{64}{10000} \quad \text{and} \quad 0.4 = \frac{4}{10} \]
Thus, we can rewrite the division as:
\[ \frac{\frac{64}{10000}}{\frac{4}{10}} = \frac{64}{10000} \times \frac{10}{4} \]

### Step 5: Simplify the fraction
Now we simplify:
\[ \frac{64 \times 10}{10000 \times 4} = \frac{640}{40000} \]
Next, we can simplify this fraction:
\[ \frac{640 \div 640}{40000 \div 640} = \frac{1}{62.5} \]

### Step 6: Convert to decimal
Now we convert \(\frac{1}{62.5}\) to decimal:
\[ \frac{1}{62.5} = 0.016 \]

### Final Answer
Thus, the simplified form of \((0.08)^2 \div 0.4\) is:
\[ \boxed{0.016} \]