How can I express 1/3 raised to the power of 3 as a fraction?

To express 1/3 raised to the power of 3, we can use the rules of exponents. The operation involves multiplying the base by itself as many times as the exponent indicates.

Here’s how it works step-by-step:

1. Start with the original fraction: 1/3.
2. When we raise it to the power of 3, we write it as:
• (1/3)³.
3. Now, apply the exponent to both the numerator and the denominator:
• (1³)/(3³).
4. Calculating the values gives:
• 1³ = 1
• 3³ = 27.
5. Thus, we have:
• (1/27).

So, 1/3 raised to the power of 3 can be expressed as the fraction 1/27.