Integer Exponents Worksheets

Sample problems

1. Write 3⁴ as a product of factors, then evaluate it.
2. Simplify 7³ × 7⁵ and (7³)⁵.
3. Simplify 2⁷ ÷ 2⁴.
4. Explain why 9⁰ = 1, using the division law.

Common mistakes to watch for

• Answered 5⁸ by multiplying the exponents, which is the powering law used in the wrong place. Or 25⁶, multiplying the bases as well.
• Gave the same answer to both, which is the swap this whole sheet is about. Read the explanation rather than the two values — a child can land on 2⁶ by luck.
• Answered 4⁰ = 0, reading zero as nothing; or 3⁻² = −9 or −6.

The answer key explains each one, so you can tell what a wrong answer means.