The fourth power of 3 is 81.
To understand how we arrive at this number, we need to know what raising a number to the fourth power means. When we say ‘the fourth power of 3’, we are essentially multiplying 3 by itself four times. In mathematical terms, this can be expressed as:
3^4 = 3 × 3 × 3 × 3
Breaking it down step by step:
- First, multiply the first two 3s: 3 × 3 = 9.
- Next, take the result and multiply by the next 3: 9 × 3 = 27.
- Finally, take that result and multiply by the last 3: 27 × 3 = 81.
Therefore, the fourth power of 3 is indeed 81. This concept of powers is fundamental in mathematics and is often used in various fields including algebra, physics, and computer science.