Exponents and Exponent Terminology

Adding Exponents Worksheet - Exponents and Exponent Terminology

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Exponents and Their Terminology:

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Adding Exponents Worksheet

Before we talk about exponents, I have a request for you, what is multiplication? Before you read my answer, keep your reply in mind and collate it to my answer. May be my reply is wrong, as a human I make mistakes too. By the way if you find whatever wrong in any of my articles, or if you think any of my articles could be good some other way, please don't hesitate to leave a feedback or sense me.

Now back to the topic, the multiplication is absolutely repeated addition. Instead adding same number again and again, multiplication is used and that's why the times tables are so prominent for elementary grade students, to avoid repeated additions.

Exponents are the repeated multiplication of the same number. Instead multiplying the same number again and again, a extra notation is used in mathematics and called the exponents. For example; let's multiply 2, two times as shown below;

2 x 2 = 4

If we want to use exponents to show the above multiplication it could be written as below:

2² which is read as "two to the power two or just two power two or two squared."

Hence, 2 x 2 = 2² = 4

Another example; to multiply 2 three times it is written as below:

2 x 2 x 2 = 8

The above repeated multiplication can be written using the exponential form as below:

2³, which is read as "two to the power three or just two power three or two cubed."

Hence, 2 x 2 x 2 = 2³ = 8

Now if you want to multiply 2 "a" times it can be written using the exponents as given in the next step:

2 x 2 x 2 x 2.........a times = 2ª Exponent terminology:

Now there is exponent terminology to remember. For example in the exponential relation, "2³", 2 is called the base and subscript "3" is called exponent or power. It means repeat the base multiplication 3 times.

Generally, 2ª is an exponential function with base "2" and exponent "a". It means multiply 2 repeating "a" times.

Same way below are more examples to clear the conception further:

1. 3² = 3 x 3 = 9

Base is three and the exponent or power is two.

2. 5² = 5 x 5 = 25

Base is 5 and exponent is 2.

3. 5³ = 5 x 5 x 5 = 125

Base is 5, exponent is 3.

4. 5ª = 5 x 5 x 5 x 5 x 5.........a times.

Base is 5 and exponent (power) is "a"

This is most of the exponent basics and good for grade six or higher students to know to do complicated exponent problems in higher algebra.

I hope you will get new knowledge about Adding Exponents Worksheet. Where you can put to used in your evryday life. And above all, your reaction is passed about Adding Exponents Worksheet.