Use property to evaluate:
`9^(3) -5^(3) - 4^(3)`

Answer

To evaluate the expression \( 9^3 - 5^3 - 4^3 \) using properties of cubes, we can follow these steps:

### Step 1: Identify the values
Let:
- \( a = 9 \)
- \( b = 5 \)
- \( c = -4 \)

### Step 2: Check the sum \( a + b + c \)
Calculate \( a + b + c \):
\[ a + b + c = 9 + 5 - 4 = 10 - 4 = 6 \]
Since \( a + b + c \neq 0 \), we cannot directly use the property \( a^3 + b^3 + c^3 = 3abc \).

### Step 3: Use the identity for cubes
Instead, we can use the identity for the difference of cubes:
\[ a^3 - b^3 = (a - b)(a^2 + ab + b^2) \]
We can rewrite the expression as:
\[ 9^3 - (5^3 + 4^3) \]

### Step 4: Calculate \( 5^3 + 4^3 \)
First, compute \( 5^3 \) and \( 4^3 \):
\[ 5^3 = 125 \]
\[ 4^3 = 64 \]
Now add them:
\[ 5^3 + 4^3 = 125 + 64 = 189 \]

### Step 5: Calculate \( 9^3 - 189 \)
Now calculate \( 9^3 \):
\[ 9^3 = 729 \]
Now substitute back into the expression:
\[ 9^3 - 5^3 - 4^3 = 729 - 189 \]

### Step 6: Perform the subtraction
Finally, perform the subtraction:
\[ 729 - 189 = 540 \]

### Final Answer
Thus, the evaluated expression \( 9^3 - 5^3 - 4^3 \) is:
\[ \boxed{540} \]