# Online Algebra Tutoring: Understanding Exponents

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## Learn Exponents from Certified Online Algebra Tutor

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.

### For example, for a base of 6:

**6 ^{2} Â Â Â = Â Â Â 6 Ã— 6**

**6**

^{3}Â Â Â = Â Â Â 6 Ã— 6 Ã— 6**6**

^{4}Â Â Â = Â Â Â 6 Ã— 6 Ã— 6 Ã— 6**6**

^{5}Â Â Â = Â Â Â 6 Ã— 6 Ã— 6 Ã— 6 Ã— 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.

72 is read as sevenÂ squared

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

93 is read as nine cubed

### Download Free Printable Worksheets for Algebra

### Check Point:

**1)7 ^{4}=**

A.7 + 7 + 7 + 7

B.7 x 4

C.4 x 7

D.7 Ã— 7 Ã— 7 x 7

**2) 5 ^{3}=**

A.15

B.125

C.8

D.243

**3) 1000 ^{0}=**

A.1000

B.0

C.No answer

D.1

**4) 1 ^{9}=**

A.1

B.8

C.No answer

D.9

**5)0.5×0.5×0.5 =**

A.0.5

B.5x5x5

C.0.5^{3}

D.No answer

### Answer key

**1)D. 7Ã—7Ã—7Ã—7**

** 2)B.125**

** 3)D.1**

** 4)A.1**

** 5)C. 0.5 ^{3}**

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