Simplify (3x)^3

Problem

(3*x)^3

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 3 to both the coefficient 3 and the variable x

(3*x)^3=3^3⋅x^3

3. Evaluate the numerical power 3^3 which is 3⋅3⋅3=27

27⋅x^3

4. Simplify the expression by combining the terms.

27*x^3

Final Answer

(3*x)^3=27*x^3

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