select all correct answers that are equivalent to 16

Question

Given:
3^2+10
(5-1)^2
4^4
2 raised to the fourth power
The sum of 4 and 2 raised to the third power

Answer 1

Let's evaluate each of the provided expressions to determine which ones are equivalent to 16.

1. \(3^2 + 10\): \[ 3^2 = 9 \ 9 + 10 = 19 \quad (\text{Not } 16) \]

2. \((5 - 1)^2\): \[ 5 - 1 = 4 \ 4^2 = 16 \quad (\text{Is } 16) \]

3. \(4^4\): \[ 4^4 = 256 \quad (\text{Not } 16) \]

4. \(2 \text{ raised to the fourth power}\): \[ 2^4 = 16 \quad (\text{Is } 16) \]

5. The sum of 4 and \(2 \text{ raised to the third power}\): \[ 2^3 = 8 \ 4 + 8 = 12 \quad (\text{Not } 16) \]

Based on the evaluations, the correct answers that are equivalent to 16 are:

• \((5 - 1)^2\)
• \(2 \text{ raised to the fourth power}\)

So the correct choices are:

• \((5 - 1)^2\)
• \(2 \text{ raised to the fourth power}\)