To find the value of \( 3^4 \), we can break down the exponentiation step by step:
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Understand the expression: \( 3^4 \) means \( 3 \) multiplied by itself \( 4 \) times.
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Perform the multiplication: \[ 3^4 = 3 \times 3 \times 3 \times 3 \]
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Calculate it step by step:
- First, calculate \( 3 \times 3 \): \[ 3 \times 3 = 9 \]
- Next, take that result and multiply by \( 3 \) again: \[ 9 \times 3 = 27 \]
- Finally, multiply by \( 3 \) one more time: \[ 27 \times 3 = 81 \]
Thus, the value of \( 3^4 \) is \( 81 \).
In summary: \[ 3^4 = 81 \]