Simplify (4x)^2

Problem

(4*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 4 and the variable x

(4*x)2=4⋅x2

3. Evaluate the numerical square by calculating 4⋅4

4=16

4. Combine the results into a single simplified expression.

16*x2

Final Answer

(4*x)2=16*x2

Want more problems? Check here!