Use property to evaluate:
`7^(3) + 3^(3) + (-10)^(3)`

Answer

To evaluate the expression \( 7^3 + 3^3 + (-10)^3 \) using properties of cubes, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the values**:
Let \( a = 7 \), \( b = 3 \), and \( c = -10 \).

2. **Check the sum**:
Calculate \( a + b + c \):
\[ a + b + c = 7 + 3 + (-10) = 7 + 3 - 10 = 0 \]

3. **Use the property of cubes**:
Since \( a + b + c = 0 \), we can use the property that states:
\[ a^3 + b^3 + c^3 = 3abc \]
Therefore, we can write:
\[ 7^3 + 3^3 + (-10)^3 = 3 \cdot (7) \cdot (3) \cdot (-10) \]

4. **Calculate \( 3abc \)**:
Now, calculate \( 3 \cdot 7 \cdot 3 \cdot (-10) \):
\[ 3 \cdot 7 = 21 \]
\[ 21 \cdot 3 = 63 \]
\[ 63 \cdot (-10) = -630 \]

5. **Final result**:
Thus, the value of \( 7^3 + 3^3 + (-10)^3 \) is:
\[ \boxed{-630} \]