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 Understanding Exponents

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How do you multiply numbers with exponents?

An exponent refers to the number of times a number is multiplied by itself. Exponents are also called Powers or Indices. Exponential notation is an easier way to write a number as a product of many factors.

The number being multiplied is the base and the exponent tells you how many times the base is multiplied.

exponents

What are exponent examples?

62      =     6 × 6
63     =     6 × 6 × 6
64     =     6 × 6 × 6 × 6
65     =     6 × 6 × 6 × 6 × 6

What if the Exponent is 1, or 0?

If the exponent is 1, then you just have the number itself (example 41 = 4)
Any nonzero number raised to the power of zero equals 1 (example 4.840 = 1)
But what about 00? It could be either 1 or 0, and so people say it is “indeterminate”.

A number with an exponent of two is known as a square of a number.
7^2 is read as seven  squared

A number with an exponent of three is known as a cube of a number.
9^3 is read as nine cubed

Check Point:

  1. 74=
  1. 7 + 7 + 7 + 7
  2. 7 x 4
  3. 4 x 7
  4. 7 × 7 × 7 x 7
  1.  53=
  1. 15
  2. 125
  3. 8
  4. 243
  1. 10000=
  1. 1000
  2. 0
  3. No answer
  4. 1
  1.  19=
  1. 1
  2. 8
  3. No answer
  4. 9
  1. 0.5x0.5x0.5 =
  1. 0.5
  2. 5x5x5
  3. 0.53
  4. No answer
Answer key
  1. D. 7×7×7×7
  2. B.125
  3. D.1
  4. A.1
  5. C. 0.53

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