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

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Presentation transcript:

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

GCSE Maths Starter 5 2.Increase £240 by 35%. 3.What is 159 x 72 4.Solve: 3(x+1) = 24 5.Copy the shape below into your exercise books and draw 5 more shapes that tessellate with it.. 1)

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

How can I simplify:4 5 x 4 3 ? How can I simplify: 7 9 x 7 6 ? 4 x 4 x 4 x 4 x 44 x 4 x 4 x= x 7 x 7 x 7 x 7 x 7 x 77 x 7 x 7 x 7 x 7 x 7 x= 7 15 Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

2 6 x 2 4 = x 2 2 = x 3 7 = 3 12 General Rule: When multiplying terms with the same base, you add the powers a m x a n = a m+n EXAMPLE: 4 7 x 4 5 = = 4 12 Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

How can I simplify 9 5 ÷ 9 3 ? How can I simplify 11 7 ÷ 11 2 ? 9 x 9 x 9 x 9 x 9 9 x 9 x 9 = 9 x 9 = x 11 x 11 x 11 x 11 x 11 x x 11 = 11 5 Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

2 6 ÷ 2 4 = ÷ 2 2 = ÷ 3 7 = 3 -2 General Rule When dividing terms with the same base, you subtract the powers a m ÷ a n = a m-n EXAMPLE: 4 7 ÷ 4 5 = = 4 2 Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

How can I simplify (4 3 ) 4 ? How can I simplify (7 2 ) 5 ? 4 x 4 x 4 xx x = x 7 x xxx= 7 10 Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

(2 6 ) 2 = 2 6 x 2 6 = 2 12 (3 5 ) 3 = 3 5 x 3 5 x 3 5 = 3 15 General Rule: When raising a power to another power, you multiply the powers (a m ) n = a m x n EXAMPLE: (4 7 ) 5 = 4 7 x 5 = 4 35 Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

Simplify the following: 7 3 x Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

How can I simplify 5a 3 x 6a 7 ? 5 x a x a x a6 x a x a x a x a x a x a x ax 5 x 6 x a x a x a x a x a x a x a x a x a x a= 30a 10 Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 102/111.

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) Lesson 5 Index Laws and Simplifying Algebra. Mathswatch 111.