What is equivalent to 3^4? Show your work.

1 answer

To find the value of \( 3^4 \), we can break down the exponentiation step by step:

  1. Understand the expression: \( 3^4 \) means \( 3 \) multiplied by itself \( 4 \) times.

  2. Perform the multiplication: \[ 3^4 = 3 \times 3 \times 3 \times 3 \]

  3. 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: \[ 3^4 = 81 \]