Simplify (4x^3)^2

Problem

(4*x^3)^2

Solution

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

(4*x^3)^2=4^2⋅(x^3)^2

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

4^2=16

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

(x^3)^2=x^(3⋅2)

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

x^(3⋅2)=x^6

5. Combine the results to write the simplified expression.

16⋅x^6=16*x^6

Final Answer

(4*x^3)^2=16*x^6

Want more problems? Check here!