To calculate the expression 13² + (52 - 49)³, you must follow the order of operations, which in most regions is remembered by the acronym PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction). The steps are as follows:
- Solve the parentheses (52 - 49)
- Calculate the exponents (13² and the result of the parentheses to the power of 3)
- Add the results of step 2 together
Let's solve it step by step:
Parentheses: 52 - 49 = 3
Exponents: 13² = 13 * 13 = 169 and (52 - 49)³ = 3³ = 3 * 3 * 3 = 27
Addition: 169 + 27 = 196
So the result of the expression 13² + (52 - 49)³ is 196.
