Pre-Algebra : Product Rule of Exponents
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Example Question #1 :Product Rule Of Exponents
Simplify:
When multiplying variables with exponents, we must remember theProduct Rule of Exponents:
Step 1:Reorganize the terms so the terms are together:
Step 2:Multiply
Step 3:使用Product Rule of Exponentsto combine
Example Question #1 :Product Rule Of Exponents
Simplify the following.
The Product of Powers Property states when we multiply two powers with the same base, we add the exponents.
In this case, the exponents are 2 and 5
Example Question #2 :Product Rule Of Exponents
Simplify the following expression:
The exponent represents how many times the term is being multiplied. So, for example,
So the first term
And the second term
Since the two terms are only separated by parentheses, they are being all multiplied together.
First multiply the coefficients,
We also have a total of 4
The final answer is
Example Question #4 :Product Rule Of Exponents
Simplify the following expression:
The exponent represents how many times the term is being multiplied. So, for example,
So the first term
And the second term
Since the two terms are only separated by parentheses, they are being all multiplied together.
First multiply the coefficients,
We also have a total of 8
The final answer is
Example Question #5 :Product Rule Of Exponents
Simplify the following expression:
In the last few problems, we saw one way to multiply terms with exponents.
Another way to explain what we did is to say: "When you MULTIPLY terms together, simplify by ADDING the exponents of each variable."
这是什么looks like in this case:
First multiply the coefficients:
Then ADD the exponents of the variables to simplify. In the first term, the exponent on the
Only the second term has the variable
Remember, this is all being multiplied together, so the final answer is
Example Question #1 :Product Rule Of Exponents
Simplify the following expression:
Remember the rule:
"When you MULTIPLY terms together, simplify by ADDING the exponents of each variable."
这是什么looks like in this case:
First multiply the coefficients:
ThenADDthe exponents of the variables to simplify. In the first term, the exponent on the
In the first term, the exponent on the
In the first term, the exponent on the
Remember, all these parts are being multiplied together, so the final answer is
Example Question #1 :Product Rule Of Exponents
Simplify the following expression:
The exponent represents how many times the term is being multiplied. So, for example,
So the first term
And the second term
Since the two terms are only separated by parentheses, they are being all multiplied together.
First multiply the coefficients,
We also have a total of 6
The final answer is
Example Question #8 :Product Rule Of Exponents
Simplify the following expression:
The exponent represents how many times the term is being multiplied. So, for example,
So the first term
And the second term
Since the two terms are only separated by parentheses, they are being all multiplied together.
First multiply the coefficients,
We also have a total of
The final answer is
Example Question #1 :Product Rule Of Exponents
Simplify:
Example Question #2 :Product Rule Of Exponents
Which of the following is equal to
`
Remember that when multiplying variables with exponents, the following property holds true:
With this knowledge, we can solve the problem:
The answer is
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