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Let's break down the problem step by step.

We are asked which of the following is **NOT** the same as \((\frac{1}{3})^3\).

### Step 1: Simplifying \((\frac{1}{3})^3\)
\[
\left(\frac{1}{3}\right)^3 = \frac{1^3}{3^3} = \frac{1}{27}
\]

### Step 2: Analyzing the Options
We now compare the options to \(\frac{1}{27}\):

- **Option a: \( \frac{1}{27} \)**  
  This is exactly the same as \(\frac{1}{27}\).

- **Option b: \(3^{-3}\)**  
  \(3^{-3} = \frac{1}{3^3} = \frac{1}{27}\), which is also the same as \(\frac{1}{27}\).

- **Option c: \(27\)**  
  This is not the same as \(\frac{1}{27}\). In fact, it's the reciprocal of \(\frac{1}{27}\).

- **Option d: \(0.037\)**  
  \(0.037\) is approximately the same as \(\frac{1}{27}\), since \(\frac{1}{27} \approx 0.037037\).

### Conclusion:
The option that is **NOT** the same as \((\frac{1}{3})^3\) is **Option c: \(27\)**.

Would you like a further breakdown of any specific part of this explanation?

Here are 5 related questions for further practice:
1. What is \( (2/5)^3 \)?
2. Simplify \( 2^{-3} \).
3. Which is larger: \( \frac{1}{3^2} \) or \( 3^{-2} \)?
4. What is the reciprocal of \( 1/8 \)?
5. Convert \( \frac{1}{64} \) to a decimal.

**Tip**: When dealing with exponents, negative exponents indicate reciprocals!

Which of the following is NOT the same as (1/3)^3?
Select one:
a. 1/27
b. 3^-3
c. 27
d. 0.037

Learn how to determine which value is NOT equivalent to (1/3)^3 with a detailed step-by-step solution. This problem covers key algebraic concepts, including exponents and simplifying fractions. Suitable for students in Grades 7-9.

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