how gabby came to an understanding during her conference
DESCRIPTION
A.A.13 Simplify monomials with exponents outside the parenthesis. How Gabby came to an understanding during her conference. October 30 , 2013. Gabby came to the conference prepared with a question. Gabby said, “I don’t know how to do this.” Mr. Ried said, “What do you know?” - PowerPoint PPT PresentationTRANSCRIPT
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How Gabby came to an understanding during her conference.
A.A.13 SIMPLIFY MONOMIALS WITH EXPONENTS OUTSIDE THE PARENTHESIS
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October 30, 2013Gabby said, “I don’t know how to do this.”
Mr. Ried said, “What do you know?”
Gabby said, “First Jeffrey told me to multiply 3 x 3 x 3 because there is a 3 here.”
Mr. Ried said, “That is correct but you also need to multiply n2
x n2 x n2”
Gabby came to the conference prepared with a question.
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GABBY’S 1ST SOLUTION1st Gabby saw the exponent 3.
2nd Gabby rewrote what was inside the parenthesis 3 times because of the exponent.
3rd Gabby used Genesis’ rule (laws of exponents) and multiplied the coefficients and added the exponents.
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GABBY’S RULEAfter finding the correct answer Gabby noticed a pattern. She saw that if she multiplied the exponents: 2 x 3 = 6
x
When you have a term inside parenthesis and it has a exponent outside you need to multiply the exponents and simplify.
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GABBY’S 2ND SOLUTIONGabby’s Rule
When you have a term inside parenthesis and it has a exponent outside you need to multiply the exponents and simplify.
1
Multiplied
Simplified
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1. Remember Gabby’s Rule
When you have a term inside parenthesis and it has a exponent outside you need to multiply the exponents and simplify.
2. Followed the expectations of a conference and came prepared with a challenge.
TAKE AWAY x
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ERIC’S RULE1st Subtract exponents when dividing powers with the same base.2nd Simplify
GENESIS’ RULEWhen you multiply monomials and they have the same base, add the exponents.
When you have a term inside parenthesis and it has a exponent outside you need to multiply the exponents and simplify.
All of these Rules are known in the math world as the:
LAWS OF EXPONENTS
GABBY’S RULE
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EXAMPLES