Algebra Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

Question: 1 / 400

What is the exponent needed to obtain 16 from a base of 2?

2

4

To find the exponent needed to obtain 16 from a base of 2, we can express 16 as a power of 2. Specifically, 16 can be rewritten as \(2^4\). This means that when the base (2) is raised to the exponent (4), it equals 16:

\[

2^4 = 2 \times 2 \times 2 \times 2 = 16

\]

Thus, the correct answer is that the exponent needed is 4. This illustrates the concept of exponents, where the base is multiplied by itself a certain number of times, dictated by the exponent itself.

The other choices do not yield 16 when 2 is raised to those powers:

- 2 raised to the power of 2 equals 4.

- 2 raised to the power of 3 equals 8.

- 2 raised to the power of 8 equals 256.

This further confirms that the only exponent that correctly results in 16 is 4.

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