Gr 11 Exponents PDF
Document Details
Uploaded by CohesiveTellurium
Tags
Summary
This document is a set of notes on exponents for Grade 11 students. It covers topics such as rational exponents, surds, simplifying expressions, and solving equations. The document also includes practice questions and exercises.
Full Transcript
Exponents Chapter Two Summary table - page 25 (MAS) Rewrite roots as rational exponents Exercise 1 a) 2, 4, 6, 8, 11 b) 1, 5, 6 c) 2 EX 1 Memo Simplifying Exponential Expressions Example 1: (from Ex 2) Example 2 (From Ex 2) Exercise 2 a) 3, 4 Take out the common factor: Example 3 Othe...
Exponents Chapter Two Summary table - page 25 (MAS) Rewrite roots as rational exponents Exercise 1 a) 2, 4, 6, 8, 11 b) 1, 5, 6 c) 2 EX 1 Memo Simplifying Exponential Expressions Example 1: (from Ex 2) Example 2 (From Ex 2) Exercise 2 a) 3, 4 Take out the common factor: Example 3 Other types of factorisation Example 4 Example 5 Example 6 Exercise 2 b) 1, 3, 5,, 14, 15 Exponential equations - An equation in which the variable is the exponent. Exercise 3 a) 1, 2, 3, 8 b) 1, 3, 4, 7, 9 Homework: Ex 3 + Read through page 34 Spot test: Equations with Rational exponents - An equation where x is the base and the exponent is in the form m/n (fraction) Example 1 Special cases: Example 2 Example 3 Example 4 Exercise 4 a) 3, 6, 7, 10 b) 3, 4, 6, 8 Surds Remember the rules: Example 5 Example 6 Rationalising the Denominator - When we write fractions with surds in a form WITHOUT SURDS IN THE DENOMINATOR When there are multiple terms in denominator, we multiply Example 7 the numerator and denominator with the Conjugate ( the same terms but different sign) Exercise 5 a) 5, 7, 10, 13 b) 1, 5, 6, 7, 8 c) * d) * CONSOLIDATION EXERCISE - ON YOUR OWN, MEMO WILL BE POSTED ON CLASSROOM