The given expression is:

\[
(3 \times 2)^3 - \left(\frac{2}{3}\right)
\]

Let’s break it down step by step:

1. First, calculate \(3 \times 2\):
\[
3 \times 2 = 6
\]

2. Now, raise 6 to the power of 3:
\[
6^3 = 6 \times 6 \times 6 = 216
\]

3. Subtract \(\frac{2}{3}\) from 216:
\[
216 - \frac{2}{3}
\]

To perform this subtraction, we write 216 as a fraction with the denominator 3:
\[
216 = \frac{648}{3}
\]

Now subtract the fractions:
\[
\frac{648}{3} - \frac{2}{3} = \frac{648 - 2}{3} = \frac{646}{3}
\]

Thus, the final result is:
\[
\frac{646}{3} \quad \text{or approximately} \quad 215.33
\]

Would you like further details or explanations?

Here are 5 questions related to this:

1. How do you simplify expressions involving powers and parentheses?
2. What are the properties of exponents that help in calculations like these?
3. How do you subtract fractions with the same denominator?
4. Can you convert improper fractions to mixed numbers?
5. What is the difference between exact and approximate answers?

**Tip**: Always simplify expressions inside parentheses first before applying exponents.

Learn how to evaluate the expression (3x2)^3 - (2/3) with a step-by-step breakdown. This arithmetic problem involves multiplication, exponents, and fraction subtraction. Suitable for students in Grades 6-8.

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