Question

4³ - (-2 + 13)
a. 5
b. 31
c. -3
d. 27

Explanation:

Step1: Calculate the exponent

First, calculate \(4^3\). By the definition of exponentiation, \(4^3 = 4\times4\times4 = 64\).

Step2: Calculate the parentheses

Next, calculate the expression inside the parentheses: \(-2 + 13\). Using the rule of addition of integers, \(-2+13 = 11\).

Step3: Subtract the two results

Now, subtract the result from the parentheses from the result of the exponentiation: \(64-11 = 31\).

Answer:

B. 31