As we begin our study of monomials, you will need to learn and understand the use of exponents. So, let's begin by defining the term exponent.
An exponent is a number (small and raised) that represents the "shortcut method" to showing how many times a number is multiplied by itself.
That sounds complicated, so let's look at a few examples:
Your base can even be a negative number! Take a look!
Whenever you have a negative base and the exponent is even, your answer will always be positive!
Whenever you have a negative base and the exponent is odd, your answer will always be negative!
Now is the tricky problem! What happens when you have a negative base, but it's not in parenthesis?
Now, I have just one more tip for you when working with exponents!
When you have a 0 as an exponent, your answer will always be 1. The only exception is 00 is undefined.
40 = 1 or 80 = 1
1. 72 =
2. (-8)2 =
3. (-9)3 =
4. (-3)4 =
5. -24 =
6. -43 =
This was just a quick review of the meaning of exponents before we get into the laws of exponents and monomials! I hope this gives you better foundation for beginning this unit! Good luck!
Coming up next, the laws of exponents!
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