Question

Determine whether the following number sentences are TRUE or FALSE, Justify your answer.

(2 + 2)² = 2²•2²​
a) True
b) False
c) Cannot be determined
d) None of the above

Answer 1

The statement (2 + 2)² = 2²•2² is true because both the left side and the right side of the equation evaluate to 16.

Step-by-step explanation:

To determine whether the statement (2 + 2)² = 2²•2² is true or false, we need to evaluate each side of the equation. First, we handle the left side of the equation which contains a sum within a square, meaning we must add the numbers and then square the result. This gives us:

(2 + 2)² = 4² = 16

On the right side of the equation, we have a product of two squares, which means we multiply the square of each number. This gives us:

2²•2² = 4•4 = 16

Since both sides of the equation result in 16, the statement is indeed true.