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The question asks to write \((2n^2)^3\) without using exponents.

Let's break it down step by step:

1. The given expression is \((2n^2)^3\).
2. To remove exponents, you expand the expression as follows:
   \[
   (2n^2)(2n^2)(2n^2)
   \]

Now, let's simplify this:

- The coefficient \(2\) appears three times, so:
  \[
  2 \times 2 \times 2 = 8
  \]

- The variable part is \(n^2\), and we are multiplying it three times:
  \[
  n^2 \times n^2 \times n^2 = n^{6}
  \]

Therefore, the expanded form of \((2n^2)^3\) is:
\[
8n^6
\]

Would you like more details on how the exponent rules work or any clarifications?

Here are 5 related questions for further understanding:
1. What is the rule for multiplying powers of the same base?
2. How would you simplify \((3x^2)^4\)?
3. Can you explain why \(2 \times 2 \times 2 = 8\)?
4. How does the distributive property apply when expanding \((a^m)^n\)?
5. What happens when you multiply variables with different exponents, like \(a^2 \times a^3\)?

**Tip:** When working with exponents, always remember the rule \( (a^m)^n = a^{m \times n} \).

Learn how to expand the expression (2n^2)^3 without using exponents. This problem covers algebraic expansion, exponent rules, and simplifying powers, suitable for Grades 8-10.

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