Simplify (4a^3)^2

Problem

(4*a3)2

Solution

1. Identify the power of a product rule, which states that (x*y)n=xn*yn

2. Apply the rule to the expression by distributing the exponent 2 to both the coefficient 4 and the variable term a3

(4)2⋅(a3)2

3. Evaluate the numerical coefficient by squaring 4

4=16

4. Apply the power of a power rule to the variable term, which states that (xm)n=x(m⋅n)

(a3)2=a(3⋅2)

5. Multiply the exponents to find the final power of a

a6

6. Combine the simplified coefficient and variable term.

16*a6

Final Answer

(4*a3)2=16*a6

Want more problems? Check here!