Select the expressions that are equivalent to 16.

Question

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

Answer 1

To find the expressions that are equivalent to 16, we can evaluate each option:

1. 44: This is not equal to 16.
2. 2 raised to the fourth power (2^4): \(2^4 = 2 \times 2 \times 2 \times 2 = 16\). This is equal to 16.
3. (5 - 1)2: Simplifying this gives \( (5 - 1) \times 2 = 4 \times 2 = 8\). This is not equal to 16.
4. 32 + 10: This simplifies to \(32 + 10 = 42\). This is not equal to 16.
5. the sum of 4 and 2 raised to the third power (4 + 2^3): First, calculate \(2^3 = 8\), then \(4 + 8 = 12\). This is not equal to 16.

The only expression that is equivalent to 16 is:

• 2 raised to the fourth power (2^4).