anonymous
  • anonymous
how can you write a experession as a single exponent?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Depends on the expression
anonymous
  • anonymous
okay \[3^{2} - 3^{3}\]
anonymous
  • anonymous
Ok, to do this you will need to factor a bit. Do you know how to factor?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
Ok, so we can rewrite this expression like this: \[3^2 - 3^3 = 3^2 - (3^2*3)\] Right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Now factor out a \(3^2\) from each term, and what do you get?
anonymous
  • anonymous
\[3^{5} \right\]
anonymous
  • anonymous
i mean \[3^{5}\]
anonymous
  • anonymous
No. \[3^2 - 3^2(3) = 3^2(\frac{3^2}{3^2} -\frac{3^2( 3)}{3^2}) = 3^2(1-3)\]
anonymous
  • anonymous
Recall how to factor something 5(3) + 5(100) = 5(3+100) = 5(103)
anonymous
  • anonymous
17-17(23) = 17(1-23) = 17(-22)
anonymous
  • anonymous
Or if you prefer you can think of it the other way. \[3^2 - 3(2^2) = 1(3^2) - 3(3^2) = -2(3^2)\]
anonymous
  • anonymous
Ack.. that should be \[3^2 - 3(3^2)\] before the first equals
anonymous
  • anonymous
Did I lose you?
anonymous
  • anonymous
yeah alot
anonymous
  • anonymous
Ok lets try this a different way. Forget what I said before. Ok
anonymous
  • anonymous
ok
anonymous
  • anonymous
\[3^2 - 3^3\] \[= 1(3^2) - 3(3^2)\] With me so far?
anonymous
  • anonymous
Do you see how these two things are equal?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Ok, so now I tell you, you have 1x and you subtract 3x, what will you have?
anonymous
  • anonymous
-3 right?
anonymous
  • anonymous
-2x
anonymous
  • anonymous
ok i get it
anonymous
  • anonymous
So here, you have \(1(3^2)\) and you subtract \(3(3^2)\), what will you have?
anonymous
  • anonymous
-18
anonymous
  • anonymous
Well yes, but that's not an expression with 1 exponent.
anonymous
  • anonymous
Although you could write it as \(-18^1\) if you want to be a smart retrice;p
anonymous
  • anonymous
I think they want you to write it as \(-2(3^2)\)
anonymous
  • anonymous
ok
anonymous
  • anonymous
I could be wrong though.
anonymous
  • anonymous
how?
anonymous
  • anonymous
it should be 3^-1
anonymous
  • anonymous
Wait a minute, that is not correct
anonymous
  • anonymous
im confused now
anonymous
  • anonymous
It's -18 or \(-2(3^2)\). It's the same number, it just depends on how your teacher wants to see it.

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