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?

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.