anonymous
  • anonymous
Use the properties of exponents to simplify the expression. 10^x+1 divide by 10^x-3
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
The divisional property of exponents is that when you divide by an exponent (when the base is equal) that you subtract the exponent being divided.
anonymous
  • anonymous
Wait, I'm an idiot, lol.
anonymous
  • anonymous
yeah i get that but i am not sure what to do when it is a equation

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anonymous
  • anonymous
Same thing, you just substitute the whole equation.
anonymous
  • anonymous
If x = 1, what you would have is 10^2 / 10^-2, right?
anonymous
  • anonymous
Then you would have 10^2-(-2)
anonymous
  • anonymous
right
anonymous
  • anonymous
Since we don't x, we leave it there.
anonymous
  • anonymous
Since we don't *know* x
anonymous
  • anonymous
So if it was 10^A / 10^B, we did 10^A-B
anonymous
  • anonymous
But A was "X + 1" and B was "X - 3"
anonymous
  • anonymous
oh i didnt distribute the negative
anonymous
  • anonymous
So we have 10^x+1 / 10^x-3, becomes 10^(x+1)-(x-3), -(x-3) = -x + 3, right? So we have 10^x+1-x+3 Finally: We have 10 to all these together: x -x +1 +3 x + (-x) = 0 1 + 3 = 4 0+4 = 4 So we have 10^4
anonymous
  • anonymous
Sorry, had to correct a number typo :)
anonymous
  • anonymous
Yea, that's easy to do, haha. Everything figured out?
anonymous
  • anonymous
yes... thank you
anonymous
  • anonymous
Awesome :)

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