Evaluate:
(i) `(0.3)^(2)`
(ii) `(0.05)^(2)`
(iii) `(1.5)^(2)`

Answer

Let's evaluate the given expressions step by step.

### (i) Evaluate \( (0.3)^2 \)

1. **Understanding the operation**: Squaring a number means multiplying it by itself. So, we need to calculate \( 0.3 \times 0.3 \).

2. **Perform the multiplication**:
\[ 0.3 \times 0.3 = 0.09 \]
- To multiply, think of \( 3 \times 3 = 9 \).
- Since both numbers have one decimal place, we add the decimal places: \( 1 + 1 = 2 \). Thus, we place the decimal point two places from the right in 9, giving us \( 0.09 \).

3. **Final answer**:
\[ (0.3)^2 = 0.09 \]

### (ii) Evaluate \( (0.05)^2 \)

1. **Understanding the operation**: Again, squaring means multiplying the number by itself. So, we calculate \( 0.05 \times 0.05 \).

2. **Perform the multiplication**:
\[ 0.05 \times 0.05 = 0.0025 \]
- To multiply, think of \( 5 \times 5 = 25 \).
- Since both numbers have two decimal places, we add the decimal places: \( 2 + 2 = 4 \). Thus, we place the decimal point four places from the right in 25, giving us \( 0.0025 \).

3. **Final answer**:
\[ (0.05)^2 = 0.0025 \]

### (iii) Evaluate \( (1.5)^2 \)

1. **Understanding the operation**: We will multiply \( 1.5 \) by itself, so we calculate \( 1.5 \times 1.5 \).

2. **Perform the multiplication**:
\[ 1.5 \times 1.5 = 2.25 \]
- To multiply, think of \( 15 \times 15 = 225 \).
- Since both numbers have one decimal place, we add the decimal places: \( 1 + 1 = 2 \). Thus, we place the decimal point two places from the right in 225, giving us \( 2.25 \).

3. **Final answer**:
\[ (1.5)^2 = 2.25 \]

### Summary of Answers:
- \( (0.3)^2 = 0.09 \)
- \( (0.05)^2 = 0.0025 \)
- \( (1.5)^2 = 2.25 \)