Questions: Follow the instructions below. Write (4 x)^2 without exponents. (4 x)^2= Fill in the blanks. (4 x)^2= x^

Transcript text: Follow the instructions below. Write $(4 x)^{2}$ without exponents. \[ (4 x)^{2}= \] $\square$ Fill in the blanks. \[ (4 x)^{2}=\square x^{\square} \]

Solution

Solution Steps

To write $(4x)^2$ without exponents, we need to expand the expression. This involves multiplying $4x$ by itself.

Solution Approach

Recognize that $(4x)^2$ means $(4x) \times (4x)$.
Multiply the constants and the variables separately.
Combine the results to get the expanded form.

Step 1: Expand the Expression

To write $(4x)^2$ without exponents, we need to expand the expression. This involves multiplying $4x$ by itself: \[ (4x)^2 = (4x) \times (4x) \]

Step 2: Multiply the Constants and Variables

Next, we multiply the constants and the variables separately: \[ (4x) \times (4x) = 4 \times 4 \times x \times x = 16x^2 \]

Final Answer

\[ \boxed{16x^2} \]

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