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The image is asking to write \((2a)^4\) without exponents and to fill in the blanks.

### 1. Writing \((2a)^4\) without exponents:

To express \((2a)^4\) without exponents, we multiply \(2a\) by itself four times:

\[
(2a)^4 = (2a) \times (2a) \times (2a) \times (2a)
\]

### 2. Filling in the blanks for \((2a)^4 = \_a^{\_}\):

When expanding \((2a)^4\) using the power of a product rule, we distribute the exponent to both terms:

\[
(2a)^4 = 2^4 \times a^4
\]

Therefore:

\[
(2a)^4 = 16a^4
\]

This fills the blanks as:  
\(\_ = 16\)  
\(\_a^{\_} = a^4\)

Would you like more details on any step?

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Here are 5 related questions:
1. How do you expand \((3x)^5\) using the same approach?
2. What is the general rule for distributing exponents across a product like \((ab)^n\)?
3. How do you handle negative exponents in expressions like \((2a)^{-4}\)?
4. Can you simplify \((2a^2b)^3\) using exponent rules?
5. How do you apply this rule when there are fractions, such as \(\left(\frac{2a}{3}\right)^4\)?

**Tip:** Always apply the exponent to both the coefficient and the variable when raising a product to a power.

Write (2a)^4 without exponents and fill in the blanks for (2a)^4 = _a^_.

Learn how to expand (2a)^4 without exponents and fill in the blanks in the equation. This solution covers key algebraic concepts like exponent rules and multiplication, making it suitable for students in Grades 6-8.

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