   Exponents represent repeated multiplication.    For example,
   More generally, for any non-zero real number    a and for any whole number n,In the exponential expression an, a is ca...
 a2 is   read as ‘a squared’. a3 is   read as ‘a cubed’. a4 is   read as ‘a to the fourth power’.   ... an is   read a...
Homework.
Homework.
Homework.
Homework.
1. All powers of a positive real number a are   positive, i.e. for a ∈ R, a > 0, and n ∈ Z,                       an> 0.2....
The terms of an expression which have the   same base and the same exponent are   called like terms. We can add or subtrac...
 Let a ∈ R – {–1, 0, 1}(a is a real number other than –1, 0 and 1).      If am = an then m = n.
   2x = 16   3x+1 = 81   22x + 1 = 8x – 1
Exponents
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Exponents

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Exponents

  1. 1.  Exponents represent repeated multiplication. For example,
  2. 2.  More generally, for any non-zero real number a and for any whole number n,In the exponential expression an, a is calledthe base and n is called the exponent.
  3. 3.  a2 is read as ‘a squared’. a3 is read as ‘a cubed’. a4 is read as ‘a to the fourth power’. ... an is read as ‘a to the nth power’.
  4. 4. Homework.
  5. 5. Homework.
  6. 6. Homework.
  7. 7. Homework.
  8. 8. 1. All powers of a positive real number a are positive, i.e. for a ∈ R, a > 0, and n ∈ Z, an> 0.2. The even powers of a negative real numbera are positive, i.e. for a ∈ R, a ≠ 0 and n ∈ Z, (–a)n = an (if n is an even number).3. The odd powers of a negative real number aare negative, i.e. for a ∈ R, a ≠ 0 and n ∈ Z, (–a)n= –an (if n is an odd number)
  9. 9. The terms of an expression which have the same base and the same exponent are called like terms. We can add or subtract like terms.(x ⋅ an) + (y ⋅ an) + (z ⋅ an) = (x + y + z) ⋅ an (a ≠ 0)
  10. 10.  Let a ∈ R – {–1, 0, 1}(a is a real number other than –1, 0 and 1). If am = an then m = n.
  11. 11.  2x = 16 3x+1 = 81 22x + 1 = 8x – 1

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