SOLUTION: How would you explain to your friend why the quotient of x^8 and x^2 is x^6 not x^4? Remember that your friend is questioning the rule

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Question 619093: How would you explain to your friend why the quotient of x^8 and x^2 is x^6 not x^4? Remember that your friend is questioning the rule
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How would you explain to your friend why the quotient of x^8 and x^2 is x^6 not x^4? Remember that your friend is questioning the rule
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Numerator = x^8 = xxxxxxxx
Denominator = x^2 = xx
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Canceling 2 of the x's in the numerator leave xxxxxx = x^6
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
How would you explain to your friend why the quotient of x^8 and x^2 is x^6 not x^4? Remember that your friend is questioning the rule

Law of exponents states that when dividing two expressions with the same base, the exponent in the denominator (2) should be subtracted from the exponent in the numerator (8).

This means: x%5E8%2Fx%5E2 ------ x%5E%288-2%29 ----- highlight_green%28x%5E6%29

Your friend is dividing the exponent in the numerator by the exponent in the denominator. It doesn't work like that!!

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