Simplify (6x)^2

Problem

(6*x)2

Solution

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

2. Apply the rule by distributing the exponent of 2 to both the coefficient 6 and the variable x

(6*x)2=6⋅x2

3. Evaluate the numerical square by calculating 6⋅6

6=36

4. Combine the results into a single expression.

36*x2

Final Answer

(6*x)2=36*x2

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