- learn or review how to evaluate expressions with exponents
- learn or review what like terms are and how to combine them
- learn how to multiply terms with the same base
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Question 1
1.
How can I simplify x(x)(x)(x)(x)?
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Question 2
2.
How can I simplify x+x+x+x+x
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Question 3
3.
Expand
Be sure you only apply the exponent to the base it is attached to. For example:
This term is 4 times x to the third power. It is only the x that is being raised to the third power. The expanded version of this is:
We're not going to use this information right now, but to raise the 4 to the 3rd power would require parentheses. If something in parentheses is being raised to a power, everything in the parenthes is raised to that power. For example:
This term has 4x in the parentheses, so 4x is being multiplied by itself three times. The expanded version of this is:
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Question 4
4.
Evaluate the expression below if x=2
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Question 5
5.
Evaluate the expression below if y=6
Watch the video below if you don't have a solid understanding of what it means to combine like terms. You can skip it if you feel like you know what you're doing.
Watch the video below (shorter) if you want to see some examples of simplifying expressions by combining like terms.
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Question 6
6.
Simplify the expression.
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Question 7
7.
Simplify.
5x+6y+x+2
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Question 8
8.
Simplify.
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Question 9
9.
Multiplying when we have the same base.
There are several exponent rules. Today, we're going to focus on the Product Rule (when you multipy things, the answer is the "product").
If that makes sense to you, proceed to the practice. If that doesn't make sense, watch the video below.
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Question 10
10.
Use the Product Rule to simplify the expression. Just type what the exponent will be into the box.
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Question 11
11.
Use the Product Rule to simplify the expression. Just type what the exponent will be into the box.
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Question 12
12.
Use the Product Rule to simplify the expression. Just type what the exponent will be into the box.
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Question 13
13.
Use the Product Rule to simplify the expression. Just type what the exponent will be into the box.