Indices summary
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This document provides examples and rules for performing operations with indices and fractional indices. It explains that multiplying terms keeps the base and adds the indices, dividing terms keeps the base and subtracts the indices. Negative indices result in the reciprocal of the base to the power of the absolute value of the index. Fractional indices mean the root is on the bottom and the top number is the power. It also gives examples like square root problems can be written as indices of one-half and provides practice problems for the reader to try.
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Indices summary
- 2. Indices Another word for powers Multiplying am X an Dividing am ÷ an = a= am+nm+n = a= am – nm – n
- 3. y2 X y8 = y10 44 X 47 = 411 2b9 X 5b3 = 10b12 t7 ÷ t3 = t4 18m6 3m2 = 6m4
- 4. Another Rule (ya )b (g3 )2 Please Note not the same as g3 X g2 = yab = g6 = g5
- 5. Negative Indices a0 = 1 a-m = 1 am so 12m-3 = 12 X 1 m3 = 12 m3 1 -a 2 = 1
- 6. Fractional Indices • The root still on the bottom • Top number is the power. = (e √a )f f /e 16 = (2 √16) = 4 = 64 33 //22 33 33 a
- 8. Save Brain Energy Switch to half power √x = x½ root of the problem
- 9. x-2 I’m Not Sure This is Right? Negative Thinking = 1 x2 I’m Positive
- 10. You Try 1. 16 2. 1000 3. 32 4. 49 5. 64 6. 81 33 //22 33 //22 22 //33 22 //33 44 //55 ¾ = 64 = 100 = 16 = 343 = 16 = 27