Check list:

1. Simplify expressions using the laws of exponents for rational exponents where \({x^{\frac{p}{q}}} = \sqrt[q]{{{x^p}}}\); \(x > 0\); \(q>0\) and including Grade 10 content.
2. Add, subtract, multiply and divide simple surds.

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Learn the concepts:

Revise the basics

It's been a (short) while since you were in Grade 10, so take a moment to revise before jumping into the more difficult concepts.

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 11 Textbook & Workbook (2012):
Exercise 1 Page 3

Relevant sections in Everything Maths:

• Revision
• Rational exponents and surds

Still want to learn more? Try these links:

• A summary of the laws of exponents.
  
• A video on the multiplication and division of exponents.
  
• A video on exponents and surds.
  
• A video on exponents.
  
• Another video on exponents and surds.
  

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Expressions

Ladies and gentlemen, this is where the fun begins. Working with exponents is like training a dog, you get the basics right (like sit, stay and walking on a lead) and all of the rest becomes a lot easier. If you get confused at any point, it will probably be because you can't remember how to factorise (go back to Grade 10 Algebraic Expressions) or you can't remember the laws of exponents.

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 11 Textbook & Workbook (2012):
Exercise 2 Page 5
Exercise 3 Page 6
Exercise 4 Page 7
Exercise 5 Page 9

Relevant sections in Everything Maths:

• Rational exponents and surds

Still want to learn more? Try these links:

• Khan Academy video on simplifying expressions with exponents.
  
• A YouTube clip called Simplifying expressions with exponents.
  
• A YouTube clip on factorising with rational and negative exponents.

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Solving Exponential Equations

Right, have you master exponential expressions? And can you solve linear and quadratic equations? Then you should be ready to move on to this.

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 11 Textbook & Workbook (2012):
Exercise 6 Page 11 (Rationalising the denominator)
Exercise 7 Page 12
Exercise 8 Page 13
Exercise 9 Page 16
Exercise 10 Page 18

Relevant sections in Everything Maths:

• Rational exponents and surds
• Solving surd equations
• Applications of exponentials

Still want to learn more? Try these links:

• Khan Academy video on solving radical equations.
  
• A YouTube clip on solving equations with rational equations.
• A YouTube clip on solving exponential equations.

• A YouTube clip called How to rationalise the denominator with a surd.
  
• A Khan Academy video on how to rationalise the denominator.
  
• A YouTube clip on rationalising the denominator.
  
• A note on all you need to know about rationalising the denominator.
  

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Practice the concepts:

A prerecorded lesson on how to classify numbers and how to work with surds.

Download the note.

A live lesson which focuses on simplifying expressions with exponents and surds.

Download the note.

A live lesson which focuses on solving exponential equations.

Download the note. 

Videos from learn.mindset.co.za

Mind Action Series: Mathematics 11 Textbook & Workbook (2012):
Revision Exercise Page 18
Some Challenges Page 19

Relevant sections in Everything Maths:

• Summary
• End of chapter exercises