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What is the value of 3 raised to the power of 4?

  1. 27

  2. 64

  3. 81

  4. 9

The correct answer is: 81

To find the value of 3 raised to the power of 4, we calculate 3 multiplied by itself four times: 3^4 = 3 × 3 × 3 × 3. Calculating this step-by-step: 1. First, multiply the first two 3s: 3 × 3 = 9. 2. Then, take that result and multiply by the next 3: 9 × 3 = 27. 3. Finally, multiply that result by the last 3: 27 × 3 = 81. Therefore, 3 raised to the power of 4 equals 81. This illustrates how exponentiation works, specifically that raising a number to a power involves repeated multiplication. The choice indicating 81 as the value shows an understanding of these fundamental multiplication principles.