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tku

  • 3 years ago

Use the properties of exponents to simplify the expression. 10^x+1 divide by 10^x-3

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  1. BlackholeMind
    • 3 years ago
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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.

  2. BlackholeMind
    • 3 years ago
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    Wait, I'm an idiot, lol.

  3. tku
    • 3 years ago
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    yeah i get that but i am not sure what to do when it is a equation

  4. BlackholeMind
    • 3 years ago
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    Same thing, you just substitute the whole equation.

  5. BlackholeMind
    • 3 years ago
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    If x = 1, what you would have is 10^2 / 10^-2, right?

  6. BlackholeMind
    • 3 years ago
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    Then you would have 10^2-(-2)

  7. tku
    • 3 years ago
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    right

  8. BlackholeMind
    • 3 years ago
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    Since we don't x, we leave it there.

  9. BlackholeMind
    • 3 years ago
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    Since we don't *know* x

  10. BlackholeMind
    • 3 years ago
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    So if it was 10^A / 10^B, we did 10^A-B

  11. BlackholeMind
    • 3 years ago
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    But A was "X + 1" and B was "X - 3"

  12. tku
    • 3 years ago
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    oh i didnt distribute the negative

  13. BlackholeMind
    • 3 years ago
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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

  14. BlackholeMind
    • 3 years ago
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    Sorry, had to correct a number typo :)

  15. BlackholeMind
    • 3 years ago
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    Yea, that's easy to do, haha. Everything figured out?

  16. tku
    • 3 years ago
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    yes... thank you

  17. BlackholeMind
    • 3 years ago
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    Awesome :)

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