Exponents and Powers Class 8 Maths Worksheet with Quiz and Activities
Work with exponents and powers: use the laws, see why the zero power is 1, rewrite negative powers and grow a bacteria culture. On WitKnowLearn you get the Exponents and Powers Class 8 online quiz, online activities and interactive games, a power lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Exponents and Powers Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Exponents and Powers Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Exponents and Powers: Laws, Zero Powers and Standard Form
A short read for Class 8 before you play. These notes cover Exponents and Powers in a way that suits students of any board.
✖ What a power means
A power is a short way to write repeated multiplication. In 2^5 the base is 2 and the exponent is 5, so 2 is multiplied by itself five times to give 32. Powers grow very fast, which is why they describe bacteria, savings and the size of the universe.
⚖ Laws, zero and negative powers
When the bases are the same, add the powers to multiply, subtract them to divide, and multiply them for a power of a power. Any non-zero number to the power 0 is 1, because a number divided by itself is 1. A negative power means a reciprocal, so 2 to the power -3 is 1/8.
🔭 Very large and very small numbers
Standard form writes a number as a decimal from 1 up to 10 times a power of 10. The Earth has mass 5.97 x 10^24 kg and a cell is 1 x 10 to the power -5 m wide. Powers of 10 let us compare numbers that would need dozens of zeros.
Exponents and Powers Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Exponents and Powers for Class 8 maths and suits students of any board. It covers the meaning of a power, the laws of exponents, the zero power, negative powers and standard form.
The activities are pitched at Class 8 level. Sort the laws, pop true facts, match powers with values and grow a bacteria culture to see how fast powers rise. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Rule | Example | Result |
|---|---|---|
| Product | 2^3 x 2^2 | 2^5 = 32 |
| Quotient | 5^6 divided by 5^4 | 5^2 = 25 |
| Zero power | 9^0 | 1 |
| Negative power | 10 to the -2 | 1/100 |
How to use this page
- Flip the six cards and try the Power Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and grow a bacteria culture in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
2^8 divided by 2^6 = 2^2 = 4.
Move the point 6 places: 4.5 x 10^6.
This Exponents and Powers worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Exponents and Powers
This guide is for Class 8 students, parents and teachers. It covers Exponents and Powers for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Exponents and Powers
Exponents give a short way to write very large and very small numbers. This topic shows the laws that make working with powers quick and how standard form is used in science.
What is there in this chapter
- Meaning of a power
- Laws of exponents
- The zero power and negative powers
- Powers with fractions
- Standard form of large and small numbers
Learning objectives
- Evaluate powers.
- Use the laws of exponents.
- Handle zero and negative powers.
- Write numbers in standard form.
- Reason with assertions and case studies.
Learning outcomes
- I can simplify products and quotients of powers.
- I can explain why a number to the power 0 is 1.
- I can write very large and very small numbers in standard form.
Exponents and Powers Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Power Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that grows a bacteria culture |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Product law | add the powers |
| Quotient law | subtract the powers |
| Power of a power | multiply the powers |
| Zero power | equals 1 |
| Negative power | reciprocal |
Types of questions you may see
- Evaluate and simplify powers
- Assertion and reason on the zero power
- Case study on bacteria or light
- Standard form of large and small numbers
Solved examples
Flip the fraction and square it: (4/3)^2 = 16/9.
Move the point 5 places: 1 x 10 to the power -5 m.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Multiplying the bases when multiplying powers | Keep the base and add the powers |
| Saying 5^0 = 0 | 5^0 = 1 |
| Writing 2 to the -3 as -8 | It is 1/8 |
Exponents and Powers in daily life
Powers describe bacteria growth, compound interest, computer memory sizes, the distance light travels and the size of cells and atoms.
Tips for parents and teachers
- Check the bases match before using a law.
- Practise reading numbers in standard form.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
Exponents and Powers Class 8 FAQs
What is a power or exponent?
A power is repeated multiplication. In 2^5 the base is 2 and the exponent is 5, so the value is 2 x 2 x 2 x 2 x 2 = 32.
Why is any number to the power 0 equal to 1?
A number divided by itself is 1, and the subtraction law also gives the power 0. So every non-zero number to the power 0 equals 1.
What does a negative power mean?
A negative power means the reciprocal. 2 to the power -3 is 1 over 2^3, which is 1/8.
How do you write a number in standard form?
Move the decimal point until one non-zero digit is before it, then multiply by a power of 10. 4500000 is 4.5 x 10^6.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Power Lab, do two virtual experiments, grow a bacteria culture in the dots and table views,, and fill in a 16-question practice sheet with a Show answers button.
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