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!
Now is the tricky problem! What happens when you have a negative base, but it's not in parenthesis?
Remember: If the "negative" is not in parentheses, you are not raising a negative number to the power. This means that you take the opposite of your final answer.
Now, I have just one more tip for you when working with exponents!
Now it's your turn! Let's try a few practice problems to make sure you've got it!
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!
The next lesson you should check out is the laws of exponents!