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Laws of indices. THEME. 1. Numbers and numeration. Topic 1: Whole numbers and decimal numbers. In Topic 1, we will focus on whole numbers in standard forms, decimal numbers in standard forms, as well as factors, multiples and prime numbers. Unit 1: Index notation.
Indices or Powers. mc-TY-indicespowers-2009-1. A knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples.
Laws of Indices 174 pdf. Video 174 on Corbettmaths. Examples. Workout. Click here. Question 1: Write as a single power of 2. 22 x 22. 22 x 23. 26 x 22 (d) 24 x 23 (e) 26 x 28 (f) 22 x 2. (g) 2 x 24. (h) 28 x 28. (i) 29 x 22. (j) 2 x 28 (k) 26 x 25 (l) 22 x 22 x 22 x 22. Question 2: Write as a single power of 5. 55 ÷ 52. 58 ÷ 53.
Laws of Indices. Video 17 on www.corbettmaths.com. Examples. Workout. Click here. Scan here. Question 1: Write as a single power of m. (a) m2 x m3 (b) m3 x m3 (c) m6 x m2 (d) m7 x m3 (e) m6 x m8 (f) m2 x m (g) m x m3. (h) m7 x m8 (i) m9 x m2 (j) m x m8. (k) m6 x m5 (l) m2 x m2 x m2 x m2. Question 2: Write as a single power of n.
Learn how to use powers, or indices, to write and simplify expressions involving multiplication and division. Find the definition, rules, examples and exercises of the laws of indices.
Index laws are the rules for simplifying expressions involving powers of the same base number. a m ×a n = a +n First Index Law (a m ) n = a mn Second Index Law
Laws of Indices. Ensure you have: Pencil or pen. Guidance. Read each question carefully before you begin answering it. Check your answers seem right. Always show your workings. Revision for this topic. www.corbettmaths.com/more/further-maths/ 8. −1 < x < 0. Write the following expressions in order, starting with the smallest. 11. Given that .
