Answer:
To solve this expression, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), which tells us to perform the operations in the following order:
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
Using PEMDAS, we can simplify the expression as follows:
2(1+3)^3 - 5^2
= 2(4)^3 - 25 // inside the parentheses, 1+3 = 4
= 2(64) - 25 // 4^3 = 4 x 4 x 4 = 64
= 128 - 25
= 103
Therefore, the solution to the expression 2(1+3)^3-5^2 is 103.