Answer: To evaluate the expression (2x^(3))^(2), we need to follow the order of operations (PEMDAS):
Raise x to the power of 3: x^(3)
Multiply the result by 2: 2x^(3)
Raise the result to the power of 2: (2x^(3))^(2)
Using the power rule of exponents, which states that (a^(m))^(n) = a^(m*n), we can rewrite the expression as:
(2x^(3))^(2) = 2^(2) * (x^(3))^(2) = 4x^(3*2) = 4x^(6)
So, the equivalent expression is:
4x^(6)
Step-by-step explanation:
