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TheEdwardsFamily

  • one year ago

PLEASE HELP ME!!!!!!!! I'LL MEDAL! What is the missing exponent? (10^6) ____ = 10 ^-18

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  1. TheEdwardsFamily
    • one year ago
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    @Nnesha

  2. anonymous
    • one year ago
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    Are you familiar with logs?

  3. TheEdwardsFamily
    • one year ago
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    no...

  4. anonymous
    • one year ago
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    I'm having trouble with the question. Is it\[(10^6)^x = 10^{-18}\]

  5. TheEdwardsFamily
    • one year ago
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    yes

  6. anonymous
    • one year ago
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    10 to the power 6 = 1,000,000 start there

  7. TheEdwardsFamily
    • one year ago
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    im trying to find the missing exponent

  8. anonymous
    • one year ago
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    OK. Then no logs required. This question involves using the laws of exponents. The law you need to understand to answer this question is the "power to a power" law. It say that when you have a power raised to another power, you multiply the exponents together. IN other words\[\left( b^n \right)^m = b^{nm}\] So, what is\[\left( 10^6 \right)^x\]

  9. TheEdwardsFamily
    • one year ago
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    10^6 is 60

  10. anonymous
    • one year ago
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    No. Leave the base (10) alone and just multiply the two exponents. What is \(6 \times x\) ?

  11. anonymous
    • one year ago
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    \[\left( 10^6 \right)^x = 10^{6 \times x} = ?\]

  12. TheEdwardsFamily
    • one year ago
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    so i am multiplying 6 * 6? im confused. (math is not my favorite subject.)

  13. anonymous
    • one year ago
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    No. Multiply 6 times x. What do you get?

  14. TheEdwardsFamily
    • one year ago
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    6?

  15. anonymous
    • one year ago
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    May I ask what course this is for? What grade level?

  16. TheEdwardsFamily
    • one year ago
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    8th grade

  17. anonymous
    • one year ago
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    Have you done algebra?

  18. TheEdwardsFamily
    • one year ago
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    yes

  19. anonymous
    • one year ago
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    So have you solved problems like\[3x=18\]/etc.

  20. TheEdwardsFamily
    • one year ago
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    yes. i have.

  21. anonymous
    • one year ago
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    OK. Good. So when you see \(3x\) as above, what mathematical operation is going on between the 3 and the x? (Addition, subtraction, multiplication, division)

  22. TheEdwardsFamily
    • one year ago
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    multiplication

  23. anonymous
    • one year ago
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    Excellent. So\[3 \times x = 3x\]right?

  24. TheEdwardsFamily
    • one year ago
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    yes

  25. anonymous
    • one year ago
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    OK. Back to your question. What is \(6 \times x\) ?

  26. TheEdwardsFamily
    • one year ago
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    mmm....im thinking 3

  27. anonymous
    • one year ago
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    I'm sorry, I'm trying to determine where you're confused. You were just able to determine that\[3 \times x = 3x\] but you're having difficulty with\[6 \times x = ?\]Can you tell me what's confusing you?

  28. TheEdwardsFamily
    • one year ago
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    ok, i think i understand now 6 * x =6x

  29. TheEdwardsFamily
    • one year ago
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    I was just confused at the beginning

  30. anonymous
    • one year ago
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    Yes! So, we've got your problem down to this:\[\left( 10^6 \right)^x = 10^{-18}\]\[10^{6 \times x} = 10^{-18}\]\[10^{6x} = 10^{-18}\]

  31. anonymous
    • one year ago
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    Now at this point, we have a single power on each side of the equation and these powers have the same base, i.e. 10. So now you can forget the bases and equate just the exponents, i.e.\[6x = -18\]Can you solve this for x?

  32. anonymous
    • one year ago
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    Sorry. Gotta run. Good luck finishing it off.

  33. TheEdwardsFamily
    • one year ago
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    ok thanks for your help!

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