Evaluate :
`(0.8)^3`

Answer

To evaluate \( (0.8)^3 \), we can follow these steps:

### Step 1: Write the expression
We start with the expression:
\[ (0.8)^3 \]

### Step 2: Expand the expression
This means we need to multiply \( 0.8 \) by itself three times:
\[ 0.8 \times 0.8 \times 0.8 \]

### Step 3: Multiply the first two terms
First, we multiply the first two \( 0.8 \)s:
\[ 0.8 \times 0.8 = 0.64 \]

### Step 4: Multiply the result by the third term
Now, we take the result \( 0.64 \) and multiply it by \( 0.8 \):
\[ 0.64 \times 0.8 \]

### Step 5: Ignore the decimal point for multiplication
To make the multiplication easier, we can ignore the decimal point temporarily. We can consider \( 64 \times 8 \):
\[ 64 \times 8 = 512 \]

### Step 6: Count the decimal places
Now, we need to place the decimal point back. In the original multiplication, \( 0.8 \) has one decimal place, and since we multiplied it three times, we have a total of three decimal places to account for:
\[ 0.512 \]

### Final Answer
Thus, the value of \( (0.8)^3 \) is:
\[ \boxed{0.512} \]

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