Find the value of the expression for the given value of x.
`900-10x^(3)`, when x= 4.

Answer

To find the value of the expression \( 900 - 10x^3 \) when \( x = 4 \), we will follow these steps:

### Step 1: Substitute the value of \( x \)
We start by substituting \( x = 4 \) into the expression.

\[ 900 - 10(4^3) \]

### Step 2: Calculate \( 4^3 \)
Next, we need to calculate \( 4^3 \) (which means \( 4 \times 4 \times 4 \)).

\[ 4 \times 4 = 16 \]
\[ 16 \times 4 = 64 \]

So, \( 4^3 = 64 \).

### Step 3: Substitute \( 4^3 \) back into the expression
Now, we substitute \( 64 \) back into the expression:

\[ 900 - 10(64) \]

### Step 4: Calculate \( 10 \times 64 \)
Next, we calculate \( 10 \times 64 \):

\[ 10 \times 64 = 640 \]

### Step 5: Subtract from 900
Now, we subtract \( 640 \) from \( 900 \):

\[ 900 - 640 = 260 \]

### Final Answer
Thus, the value of the expression \( 900 - 10x^3 \) when \( x = 4 \) is:

\[ \boxed{260} \]

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