Simplify (5x)^2

Problem

(5*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 5 and the variable x

(5*x)2=5⋅x2

3. Evaluate the numerical square 5 which is 5⋅5=25

25⋅x2

4. Simplify the expression by removing the multiplication dot.

25*x2

Final Answer

(5*x)2=25*x2

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