write the following as powers of 2,3, or 5. 1/3

To write \(\frac{1}{3}\) as a power of 2, 3, or 5, we observe that \(\frac{1}{3}\) can be expressed as \(3^{-1}\). Here’s the detailed explanation:

\[
\frac{1}{3} = 3^{-1}
\]

So, \(\frac{1}{3}\) as a power of 3 is \(3^{-1}\).

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Here are 8 related questions for further practice:

1. Write \( \frac{1}{2} \) as a power of 2.
2. Write \( 1 \) as a power of 5.
3. Write \( \frac{1}{5} \) as a power of 5.
4. Write \( \frac{1}{9} \) as a power of 3.
5. Write \( 8 \) as a power of 2.
6. Write \( 27 \) as a power of 3.
7. Write \( 25 \) as a power of 5.
8. Write \( 32 \) as a power of 2.

**Tip:** Remember that negative exponents represent the reciprocal of the base raised to the corresponding positive exponent. For example, \(a^{-n} = \frac{1}{a^n}\).

Learn how to express \(\frac{1}{3}\) as a power of 2, 3, or 5 with a detailed step-by-step explanation. Understand the concept of exponents and reciprocals. Suitable for students in Grades 6-8.

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