Question

Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵

Answer 1

Answer:
`2^(5)`

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just
`2^(5)`.

A common mistake in this problem would

be for students to say that 2³ · 2² is
`4^(5)`.

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

Answer 2

2^5

Explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5