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Published in: Mathematics
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Index laws with Positive, Negative, zero and fractional Indices Exponential Equations

Divya J / Delhi

15 years of teaching experience

Qualification: CAIE and Pearson Examiner for IGCSE an AS Levels, Masters in Mathematics

Teaches: Mental Maths, Algebra, Mathematics, NTSE, ACT Exam, PSAT, SAT, IB Exam Preparation

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  1. Mathematics Lecture No Numbers Today's Targets Index laws with Positive, Negative, zero and fractional Indices Exponential Equations .- 04
  2. Laws of Indices The zero index
  3. Negative Indices The rules of indices can also be extended to work with negative indices. — for any number n, x 0
  4. Fractional Indices The laws of indices can be extended to fractional indices. Use the rules: x Or, write the numbers in prime factor form first.
  5. Exponential Equations Equations that involve indices as unknowns are known as exponential equations.
  6. Question Using indices, simplify the following:
  7. Question Work out the value of the following without using a calculator: (b) 52 x 5- (g) (c)
  8. Question Find the value of' I 2(2t+Z) : . (a) 128 ' in each of the following: (b)
  9. Question Work out
  10. Question Solve for
  11. Question Work out
  12. Question Solve for
  13. Question Given that, Find the value of n. — where x y
  14. Question Simplify fully
  15. Question Work out:
  16. Question Find the exact value of 8i x 49 -Z.
  17. Question Find the value of x in each of the following: (a) 2(2x+2) 128 (b)
  18. Question Evaluate the following without the use of a calculator: (a) (c)
  19. [M1922, Q17] (a) Find the value of n when 5'1
  20. [21 (b) Simplify:
  21. 23, Q17] (a) Find the value of
  22. 23, Q17] (b) Simplify. .... ...................... [21
  23. [S15 22, Q16] Find the value of ........................... [11
  24. [WW 22, Q3] Caiculate: 0.125%.
  25. [SIG, 21, Q12] Simplify: (16p16)i. [21

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