# Understanding 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? **

**6 ^{2} = 6 × 6**

**6**

^{3}= 6 × 6 × 6**6**

^{4}= 6 × 6 × 6 × 6**6**

^{5}= 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 4^{1} = 4)

Any nonzero number raised to the power of zero equals 1 (example 4.84^{0} = 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.

is read as seven squared

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

is read as nine cubed

#### Check Point:

**7**^{4}=

- 7 + 7 + 7 + 7
- 7 x 4
- 4 x 7
- 7 × 7 × 7 x 7

**5**^{3}=

- 15
- 125
- 8
- 243

**1000**^{0}=

- 1000
- 0
- No answer
- 1

**1**^{9}=

- 1
- 8
- No answer
- 9

**0.5x0.5x0.5 =**

- 0.5
- 5x5x5
- 0.5
^{3} - No answer

##### Answer key

- D. 7×7×7×7
- B.125
- D.1
- A.1
- C. 0.5
^{3}

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