Simplify (2x)^3

Problem

(2*x)3

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 3 to both the coefficient 2 and the variable x

(2*x)3=2⋅x3

3. Evaluate the numerical power by calculating 2 which is 2⋅2⋅2=8

8⋅x3

4. Simplify the expression by removing the multiplication dot.

8*x3

Final Answer

(2*x)3=8*x3

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