Question

Select the expressions that are equivalent to 16.

the sum of 4 and 2 raised to the third power
44
2 raised to the fourth power
(5 - 1)2
32 + 10

Answer 1

The expressions equivalent to 16 are 2 raised to the fourth power and (5-1) squared. Evaluations show that only options A and E match the number 16. therefore, option A and E are correct

Step-by-step explanation:

The question asks to select the expressions that are equivalent to 16:

• A. 2 raised to the fourth power
• B. 32 + 10
• C. 44
• D. the sum of 4 and 2 raised to the third power
• E. (5-1)2

Let's evaluate each expression:

1. 24 = 2 x 2 x 2 x 2 = 16 (Equivalent)
2. 32 + 10 = 9 + 10 = 19 (Not Equivalent)
3. 44 = 4 x 4 x 4 x 4 = 256 (Not Equivalent)
4. 4 + 23 = 4 + 2 x 2 x 2 = 4 + 8 = 12 (Not Equivalent)
5. (5-1)2 = 42 = 4 x 4 = 16 (Equivalent)

Therefore, the expressions A and E are equivalent to 16.

the complete Question is given below:

Select the expressions that are equivalent to 16.

A. 2 raised to the fourth power

B. 3^2 + 10

C. 4^4

D. the sum of 4 and 2 raised to the third power

E. (5-1)^2