Simplify (5x)^2

Problem

(5*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 5 and the variable x

(5*x)^2=5^2⋅x^2

3. Evaluate the numerical square 5^2 which is 5⋅5=25

25⋅x^2

4. Simplify the expression by removing the multiplication dot.

25*x^2

Final Answer

(5*x)^2=25*x^2

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