Simplify (3x)^2

Problem

(3*x)^2

Solution

1. Identify the power of a product rule, which states that (a*b)^n=a^n*b^n

2. Apply the rule by distributing the exponent of 2 to both the coefficient 3 and the variable x

(3*x)^2=3^2⋅x^2

3. Evaluate the numerical square of 3

3^2=9

4. Combine the results to write the simplified expression.

9*x^2

Final Answer

(3*x)^2=9*x^2

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