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

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Poppy

7/8/2022

Maths

Indices

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Laws of indices

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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

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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Subjects

Maths

Number

Laws of indices

Raising a power to a power

 

Maths

•

360

•

Jul 8, 2022

•

2 pages

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

user profile picture

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

<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

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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.,3−2=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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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

I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️

Thomas R

iOS user

Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades

Brad T

Android user

Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍

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

I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend

Aubrey

iOS user

Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀

Marco B

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 app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!

Paul T

iOS user