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Find the value of : 2^6...

Find the value of : `2^6`

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To find the value of \( 2^6 \), we can follow these steps: ### Step 1: Understand the expression The expression \( 2^6 \) means that we need to multiply the base (which is 2) by itself a total of 6 times. ### Step 2: Write out the multiplication We can express \( 2^6 \) as: \[ 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \] ### Step 3: Perform the multiplication step by step Now, let's multiply the numbers step by step: 1. First, multiply the first two 2's: \[ 2 \times 2 = 4 \] 2. Next, multiply the result by the next 2: \[ 4 \times 2 = 8 \] 3. Then, multiply the result by the next 2: \[ 8 \times 2 = 16 \] 4. Now, multiply the result by the next 2: \[ 16 \times 2 = 32 \] 5. Finally, multiply the result by the last 2: \[ 32 \times 2 = 64 \] ### Step 4: Conclusion Thus, the value of \( 2^6 \) is: \[ \boxed{64} \]
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