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

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Poppy

7/8/2022

Maths

Indices

Subjects

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

7/8/2022

<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

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

Poppy

@pgtips23

454 Followers

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

...

7/8/2022

360

11/9

Maths

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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)

Sign up to see the content. It'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.

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

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average App Rating

17 M

Students use Knowunity

#1

In Education App Charts in 17 Countries

950 K+

Students uploaded study notes

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

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

Page 2: Advanced Applications and Complex Calculations

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

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

17 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying

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

Similar Content

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

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

17 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying