Simplify (4x^3)^2

Problem

(4*x3)2

Solution

1. Apply the power of a product rule, which states that (a*b)n=an*bn

(4*x3)2=4⋅(x3)2

2. Evaluate the numerical constant by squaring the number 4.

4=16

3. Apply the power of a power rule, which states that (am)n=a(m⋅n)

(x3)2=x(3⋅2)

4. Multiply the exponents to find the final power of x

x(3⋅2)=x6

5. Combine the results to write the simplified expression.

16⋅x6=16*x6

Final Answer

(4*x3)2=16*x6

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