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# Exponents

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## Learn Exponents from Certified Online Algebra Tutor

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.

#### 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.

A number with an exponent of three is known as a cube of a number.

#### 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
4. 1
1.  19=
1. 1
2. 8
4. 9
1. 0.5×0.5×0.5 =
1. 0.5
2. 5x5x5
3. 0.53
1. D. 7×7×7×7
2. B.125
3. D.1
4. A.1
5. C. 0.53

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