tku
Use the properties of exponents to simplify the expression.
10^x+1 divide by 10^x-3
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BlackholeMind
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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.
BlackholeMind
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Wait, I'm an idiot, lol.
tku
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yeah i get that but i am not sure what to do when it is a equation
BlackholeMind
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Same thing, you just substitute the whole equation.
BlackholeMind
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If x = 1, what you would have is 10^2 / 10^-2, right?
BlackholeMind
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Then you would have 10^2-(-2)
tku
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right
BlackholeMind
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Since we don't x, we leave it there.
BlackholeMind
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Since we don't *know* x
BlackholeMind
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So if it was 10^A / 10^B, we did 10^A-B
BlackholeMind
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But A was "X + 1" and B was "X - 3"
tku
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oh i didnt distribute the negative
BlackholeMind
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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
BlackholeMind
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Sorry, had to correct a number typo :)
BlackholeMind
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Yea, that's easy to do, haha. Everything figured out?
tku
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yes... thank you
BlackholeMind
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Awesome :)