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Fun with Indices: Calculators, Worksheets, and Cool Math Examples

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Poppy

08/07/2022

Maths

Indices

Fun with Indices: Calculators, Worksheets, and Cool Math Examples

A comprehensive guide to calculating with indices and understanding their fundamental rules and applications in mathematics.

  • The guide covers essential concepts of laws of indices including multiplication, division, and working with negative and fractional powers
  • Detailed explanations of negative indices and their relationship with reciprocals
  • In-depth coverage of fractional indices and their connection to roots
  • Step-by-step solutions for indices division examples and complex calculations
  • Special focus on algebraic applications and working backwards with indices
...

08/07/2022

360


<h2 id="multiplicationwithindices">Multiplication with Indices</h2>
<p>When multiplying indices, you simply add the powers. For example, 2a

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Page 2: Advanced Applications and Complex Calculations

This page delves deeper into advanced applications of indices, focusing on working backwards and solving more complex problems involving negative and fractional powers.

Definition: When working with fractional powers, am/n = a√am where n represents the root and m the power

Example: 25⁻³/² = 1/253/225³/² = 1/125

Highlight: For decimal powers, convert to fractions before solving e.g.,0.16=16/100e.g., 0.16 = 16/100

The page provides comprehensive guidance on solving complex indices problems, particularly focusing on negative fractional powers and working backwards. It emphasizes the importance of breaking down complex calculations into manageable steps and applying the correct rules systematically.

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Maths

360

8 Jul 2022

2 pages

Fun with Indices: Calculators, Worksheets, and Cool Math Examples

A comprehensive guide to calculating with indices and understanding their fundamental rules and applications in mathematics.

  • The guide covers essential concepts of laws of indices including multiplication, division, and working with negative and fractional powers
  • Detailed explanations of negative indices... Show more


<h2 id="multiplicationwithindices">Multiplication with Indices</h2>
<p>When multiplying indices, you simply add the powers. For example, 2a

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Page 2: Advanced Applications and Complex Calculations

This page delves deeper into advanced applications of indices, focusing on working backwards and solving more complex problems involving negative and fractional powers.

Definition: When working with fractional powers, am/n = a√am where n represents the root and m the power

Example: 25⁻³/² = 1/253/225³/² = 1/125

Highlight: For decimal powers, convert to fractions before solving e.g.,0.16=16/100e.g., 0.16 = 16/100

The page provides comprehensive guidance on solving complex indices problems, particularly focusing on negative fractional powers and working backwards. It emphasizes the importance of breaking down complex calculations into manageable steps and applying the correct rules systematically.


<h2 id="multiplicationwithindices">Multiplication with Indices</h2>
<p>When multiplying indices, you simply add the powers. For example, 2a

Sign up to see the contentIt's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Rules of Indices and Core Concepts

This page introduces fundamental rules for working with indices and covers multiplication, division, and negative powers. The content explains how to handle various types of indices calculations with detailed examples.

Definition: When multiplying indices, add the powers e.g.,2a2×a3=2a5e.g., 2a² × a³ = 2a⁵

Highlight: For negative indices, the number becomes its reciprocal e.g.,32=1/32e.g., 3⁻² = 1/3²

Example: When working with fractional powers: 27²/³ = 27√27² = 9

Vocabulary: Numerator - the top number in a fraction; Denominator - the bottom number in a fraction

The page elaborates on working with fractions and introduces the concept that negative powers mean flipping fractions. It also covers the essential rule for fractional powers where the denominator represents the root and the numerator represents the power.

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This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

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In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

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very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

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THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan S

iOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha Klich

Android user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

Anna

iOS user

Best app on earth! no words because it’s too good

Thomas R

iOS user

Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.

Basil

Android user

This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.

David K

iOS user

The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!

Sudenaz Ocak

Android user

In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.

Greenlight Bonnie

Android user

very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.

Rohan U

Android user

I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.

Xander S

iOS user

THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮

Elisha

iOS user

This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now

Paul T

iOS user