Questions: Perform the indicated operations. 2^9 - 9^2

Transcript text: Perform the indicated operations. \[ 2^{9}-9^{2} \]

Solution

Step 1: Calculate \(2^9\)

First, we calculate \(2^9\):

\[ 2^9 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 512 \]

Step 2: Calculate \(9^2\)

Next, we calculate \(9^2\):

\[ 9^2 = 9 \times 9 = 81 \]

Step 3: Subtract \(9^2\) from \(2^9\)

Now, we subtract \(9^2\) from \(2^9\):

\[ 2^9 - 9^2 = 512 - 81 = 431 \]

\[ \boxed{431} \]

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