Simplify (3x)^4

Problem

(3*x)4

Solution

1. Apply the Power of a Product Rule, which states that (a*b)n=an*bn

2. Distribute the exponent to both the coefficient 3 and the variable x

(3*x)4=3⋅x4

3. Evaluate the numerical power by calculating 3⋅3⋅3⋅3

3=81

4. Combine the results to write the expression in its simplest form.

81*x4

Final Answer

(3*x)4=81*x4

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