Questions: Evaluate (3^3-4^2)

Evaluate (3^3-4^2)
Transcript text: Evaluate $3^{3}-4^{2}$
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Solution

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Solution Steps

To solve the expression \(3^{3} - 4^{2}\), we need to:

  1. Calculate \(3^{3}\) which is 3 raised to the power of 3.
  2. Calculate \(4^{2}\) which is 4 raised to the power of 2.
  3. Subtract the result of \(4^{2}\) from \(3^{3}\).
Step 1: Calculate \(3^{3}\)

We start by calculating \(3^{3}\): \[ 3^{3} = 27 \]

Step 2: Calculate \(4^{2}\)

Next, we calculate \(4^{2}\): \[ 4^{2} = 16 \]

Step 3: Subtract \(4^{2}\) from \(3^{3}\)

Now, we subtract the result of \(4^{2}\) from \(3^{3}\): \[ 3^{3} - 4^{2} = 27 - 16 = 11 \]

Final Answer

\(\boxed{11}\)

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