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

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Poppy

08/07/2022

Maths

Indices

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Maths

Number

Laws of indices

Raising a power to a power

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

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

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 = $√a$ m where n represents the root and m the power

Example: 25⁻³/² = 1/ $25³/²$ = 1/125

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

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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Subjects

Maths

Number

Laws of indices

Raising a power to a power

Maths

•

360

•

8 Jul 2022

•

2 pages

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

Poppy

@pgtips23

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

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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 = $√a$ m where n represents the root and m the power

Example: 25⁻³/² = 1/ $25³/²$ = 1/125

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

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.

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 $e.g., 2a² × a³ = 2a⁵$

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

Example: When working with fractional powers: 27²/³ = $√27$ ² = 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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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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Fun with Indices: Calculators, Worksheets, and Cool Math Examples

Page 2: Advanced Applications and Complex Calculations

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

21 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

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

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Page 2: Advanced Applications and Complex Calculations

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Page 1: Rules of Indices and Core Concepts

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