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Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111. 1). Copy the shape below into your exercise books and draw 5 more shapes that tessellate with it. GCSE Maths Starter 5. Increase £240 by 35%. What is 1 59 x 72 Solve: 3(x+1) = 24.

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Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

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  1. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch 102/111.

  2. 1) Copy the shape below into your exercise books and draw 5 more shapes that tessellate with it.. GCSE Maths Starter 5 Increase £240 by 35%. What is 159 x 72 Solve: 3(x+1) = 24

  3. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. To find the value of calculations using indices. To simplify letters and numbers when they are being X, +, -, ÷. To use index laws to simplify and calculate the value of numerical expressions involving multiplication and division of integer powers, and of powers of a power EXTN: To simplify expressions with more than one letter and numbers. (Grade C)

  4. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. • How can I simplify: 45 x 43? • How can I simplify: 79 x 76? x = 48 4 x 4 x 4 x 4 x 4 4 x 4 x 4 x = 715 7 x 7 x 7 x 7 x 7 x 7 x 7 7 x 7 x 7 x 7 x 7 x 7

  5. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. 26 x 24 = 210 24 x 22 = 26 35 x 37 = 312 General Rule: When multiplying terms with the same base, you add the powers am x an = am+n EXAMPLE: 47 x 45 = 47+5 = 412

  6. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. • How can I simplify 95 ÷ 93? • How can I simplify 117 ÷ 112? 9 x 9 x 9 x 9 x 9 = 9 x 9 = 92 9 x 9 x 9 11 x 11 x 11 x 11 x 11 x 11 x 11 = 115 11 x 11

  7. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. 26÷ 24 = 22 25÷ 22 = 23 35÷ 37 = 3-2 General Rule When dividing terms with the same base, you subtract the powers am÷ an = am-n EXAMPLE: 47 ÷ 45 = 47-5 = 42

  8. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. • How can I simplify (43)4? • How can I simplify (72)5? x x x 4 x 4 x 4 4 x 4 x 4 4 x 4 x 4 4 x 4 x 4 = 412 = 710 x x x 7 x 7 7 x 7 7 x 7 7 x 7 x 7 x 7

  9. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. (26)2 = 26 x 26 = 212 (35)3 = 35 x 35 x 35 = 315 General Rule: When raising a power to another power, you multiply the powers (am)n = am x n EXAMPLE: (47)5= 47x5 = 435

  10. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. • Simplify the following: 73 x 78 75 4 x 5 x 10

  11. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111. • How can I simplify 5a3 x 6a7? x 6 x a x a x a x a x a x a x a 5 x a x a x a 5 x 6 x a x a x a x a x a x a x a x a x a x a = 30a10

  12. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111.

  13. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111.

  14. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch102/111.

  15. Lesson 5 Index Laws and Simplifying Algebra.Mathswatch 111. To find the value of calculations using indices. To simplify letters and numbers when they are being X, +, -, ÷. To use index laws to simplify and calculate the value of numerical expressions involving multiplication and division of integer powers, and of powers of a power EXTN: To simplify expressions with more than one letter and numbers. (Grade C)

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