Simplify (2x)^4

Problem

(2*x)4

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 4 to both the coefficient 2 and the variable x

(2*x)4=2⋅x4

3. Evaluate the numerical constant 2 by calculating 2⋅2⋅2⋅2

2=16

4. Combine the results into a single expression.

16⋅x4=16*x4

Final Answer

(2*x)4=16*x4

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