Question

Which expression is equivalent to (3 - 2²) + 5?

A. 3² - 5
B. 5 - 3²
C. 2² - 5
D. 5 - 2²

Answer 1

The answer is A because 2 to the second power is 4 so 3-4 = -1 and -1+5 is 4
So 3 to the 3rd power is 9 so 9- 5 is also 4

Answer 2

D: 5 - 2²

Explanation:

Start with the term 2², which means 2 raised to the power of 2, or 2 multiplied by itself. So, 2² equals 4.

Subtract this result from 3: 3 - 4 = -1.

Finally, add 5 to the previous result: -1 + 5 = 4.

So, the expression (3 - 2²) + 5 simplifies to 4. Therefore, the correct equivalent expression is 5 - 2² (option D), as both yield the same result of 4.