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Zero & Negative Exponents - Worksheet 7 - 8th Grade

Medium

Use exponent rules, reciprocals and normalized scientific notation.

medium: Practice the same exercise types with a fresh numbered set.

24 problems · 15-20 minutes · Skills: exponents, algebra, number sense

About This Worksheet

This medium-level worksheet contains 24 problems designed for 8th Grade students practicing zero & negative exponents. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

Read ordered pairs and solve linear equations using signed arithmetic.

  • Use exponent rules, reciprocals and normalized scientific notation.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Evaluate 4^0. Give an exact fraction if needed.
Solution Steps:
  1. A nonzero number to the zero power is 1.
  2. A negative exponent means take the reciprocal of the corresponding positive power.
Answer: 1
Tip: Check your result using the method in the example before moving to the next question.
1
Evaluate 3^0. Give an exact fraction if needed.
2
Evaluate 8^-1. Give an exact fraction if needed.
3
Evaluate 4^0. Give an exact fraction if needed.
4
Evaluate 8^-4. Give an exact fraction if needed.
5
Evaluate 5^0. Give an exact fraction if needed.
6
Evaluate 7^-4. Give an exact fraction if needed.
7
Evaluate 7^0. Give an exact fraction if needed.
8
Evaluate 5^-1. Give an exact fraction if needed.
9
Evaluate 6^0. Give an exact fraction if needed.
10
Evaluate 6^-4. Give an exact fraction if needed.
11
Evaluate 8^0. Give an exact fraction if needed.
12
Evaluate 8^-3. Give an exact fraction if needed.
13
Evaluate 2^0. Give an exact fraction if needed.
14
Evaluate 7^-1. Give an exact fraction if needed.
15
Evaluate 4^0. Give an exact fraction if needed.
16
Evaluate 5^-3. Give an exact fraction if needed.
17
Evaluate 2^0. Give an exact fraction if needed.
18
Evaluate 2^-3. Give an exact fraction if needed.
19
Evaluate 2^0. Give an exact fraction if needed.
20
Evaluate 6^-3. Give an exact fraction if needed.
21
Evaluate 6^0. Give an exact fraction if needed.
22
Evaluate 7^-3. Give an exact fraction if needed.
23
Evaluate 4^0. Give an exact fraction if needed.
24
Evaluate 7^-4. Give an exact fraction if needed.

Answer Key

1. 12. 1/83. 14. 1/40965. 16. 1/24017. 18. 1/59. 110. 1/129611. 112. 1/51213. 114. 1/715. 116. 1/12517. 118. 1/819. 120. 1/21621. 122. 1/34323. 124. 1/2401

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Frequently Asked Questions

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Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this exponents & scientific notation worksheet cover?

This worksheet focuses on exponents, algebra, number sense. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 24 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.