Question

Consider this expression: a³ - 7 + 16 / 1. When a = 2 and b = -4, the value of the expression is:

A. 11
B. 12
C. 13
D. 14

Answer 1

The value of the expression a³ - 7 + 16 / 1 when a = 2 is calculated by substituting 2 for a, which results in 2³ - 7 + 16, simplifying to 8 - 7 + 16, and finally obtaining 17, which is not an option provided.

Step-by-step explanation:

To find the value of the expression a³ - 7 + 16 / 1 when a = 2 and b = -4, follow these steps:

1. Substitute the given value of a into the expression. Therefore, we replace a with 2, getting 2³ - 7 + 16 / 1.
2. Calculate the power of 2, which is 2 x 2 x 2 or 8.
3. Subtract 7 from the result of the power of 2, so we have 8 - 7.
4. Since division by 1 does not change the value, the term 16 / 1 is just 16.
5. Add the results of step 3 and step 4 together to get 1 + 16, which is 17.

Therefore, the final value of the expression is 17 which is not listed in the options provided, suggesting there might be an error in the question or the options given.