SOLUTION: why is x8 and x2 x6 and not x 4

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Question 647322: why is x8 and x2 x6 and not x 4
Found 2 solutions by VirtualMathTutor, stanbon:
Answer by VirtualMathTutor(26)   (Show Source): You can put this solution on YOUR website!
Let's think about it this way:


is the same as x * x * x * x * x * x * x * x
is the same as x * x


Now let's divide:
=


Cancel out the common x's to get:
= x * x * x * x * x * x =


This is the quotient rule: =

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
why is x8 and x2 x6 and not x 4
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x^8/x^2 = (xxxxxxxx)/(xx)
---
2 of the "x's are canceled by the 2 in the denominator.
That leaves you with (xxxxxx) = x^6
==================
The general rule is x^a/x^b = x^(a-b)
======================================
Cheers,
Stan H.
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