`3^(3)-(-0.6)^(3) =`

Options

A. 27.216
B. 26.784
C. -26.784
D. -27.216

Answer

To solve the expression \(3^3 - (-0.6)^3\), we will follow these steps:

### Step 1: Calculate \(3^3\)
First, we need to calculate \(3^3\):
\[ 3^3 = 3 \times 3 \times 3 = 27 \]

### Step 2: Calculate \((-0.6)^3\)
Next, we calculate \((-0.6)^3\):
\[ (-0.6)^3 = -0.6 \times -0.6 \times -0.6 \]
Calculating \(-0.6 \times -0.6\):
\[ -0.6 \times -0.6 = 0.36 \]
Now, multiply \(0.36\) by \(-0.6\):
\[ 0.36 \times -0.6 = -0.216 \]

### Step 3: Substitute the values into the expression
Now we substitute the values we calculated back into the original expression:
\[ 3^3 - (-0.6)^3 = 27 - (-0.216) \]

### Step 4: Simplify the expression
Subtracting a negative is the same as adding:
\[ 27 - (-0.216) = 27 + 0.216 = 27.216 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{27.216} \]

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