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heathernelly

  • 2 years ago

awesomeeee.

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  1. chahnatailor
    • 2 years ago
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    IS there anything in front of the 3 ?

  2. chahnatailor
    • 2 years ago
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    Or is the question asking the cube root?

  3. heathernelly
    • 2 years ago
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    yeah cube root (:

  4. chahnatailor
    • 2 years ago
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    Ok so, take this step by step. If you have ^3√24a^10b^6 , start with 24 first. Find a perfect cubed number in 24. Do you know what it is ?

  5. heathernelly
    • 2 years ago
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    no :/ im really bad at math:(

  6. chahnatailor
    • 2 years ago
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    A perfect cubed number is anything that has the same 3 numbers multiplied. For example, 3*3*3= 27 so 27 is a perfectly cubed number. If you had the number 54, you would look for factors of 54 that would have a perfect cubed number. So factors of 54 are (1, 2, 3, 6, 9, 18, 27, 54) So if you looked through the numbers, you would see that 27 is the perfect cubed number. So, back to the question, go through the factors of 24 and see what number has 3 of the same numbers multiplied to get that number.

  7. heathernelly
    • 2 years ago
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    3?

  8. heathernelly
    • 2 years ago
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    6, 2, 3, 4, 24, 1, 12, 8?

  9. chahnatailor
    • 2 years ago
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    No... The factors of 24 are (1, 2, 3, 4, 6, 8, 12, 24) .... Now I told you that 3*3*3=27 so it has to be lower. So do 2*2*2 .. That = 8. 8 is a factor of 24 and it is a perfect square.

  10. chahnatailor
    • 2 years ago
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    So, 24 would break into 8 * 3. The 8 will come out of the cube root as 2 ( because 2*2*2=8) leaving you with the 3 in the inside of the cube root.

  11. chahnatailor
    • 2 years ago
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    so you would have 2, ^3√3a^10 b^6 ... get it?

  12. heathernelly
    • 2 years ago
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    wait, why did you chose 8? :/ like how do you know if its a perfect square?

  13. heathernelly
    • 2 years ago
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    ohhh, get it now! your awesome!

  14. chahnatailor
    • 2 years ago
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    Sorry, i meant perfect cube root. What you should do is pull up a list of perfect cube roots. I'll give you the first 10. 13 = 1 23 = 8 33 = 27 43 = 64 53 = 125 63 = 216 73 = 343 83 = 512 93 = 729 103 = 1000

  15. heathernelly
    • 2 years ago
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    thank you soo much :D!!

  16. chahnatailor
    • 2 years ago
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    Ok wait , we're not done!

  17. chahnatailor
    • 2 years ago
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    and the formulas i gave, it is not 13, 23, 33, in the first column. it is supposed to read 1^3, 2^3, 3^3, etc

  18. chahnatailor
    • 2 years ago
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    So now we have to move on to a^10. How many times does 3 go in evenly to 10? (this is because you have ^3√a^10

  19. heathernelly
    • 2 years ago
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    2?

  20. chahnatailor
    • 2 years ago
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    When it comes to exponents for letters, you divide normally instead of trying to find the cube root. Example : ^3√a^7 ... 3 would go into 7 twice so you would have a^6 come out with ^3√a left inside. = a^6, ^3√a

  21. chahnatailor
    • 2 years ago
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    sorry sorry a^2 come out with ^3√a in the inside***

  22. chahnatailor
    • 2 years ago
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    = a^2, ^3√a

  23. chahnatailor
    • 2 years ago
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    So, for ^3√a^10 , how many times does 3 go into 10?

  24. heathernelly
    • 2 years ago
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    that kinda confused me, 3 times r 1? im not sure

  25. chahnatailor
    • 2 years ago
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    3 will go into 10 , 3 times. (3*3 is 9.) .... So a^3 will come out and merge with the 2 from earlier making it 2a^3 and the last a (since only 9 were taken out) will stay inside. So, so far, we have 2a^3 ^3√3a b^6

  26. heathernelly
    • 2 years ago
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    ohh! got you

  27. heathernelly
    • 2 years ago
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    it's actually making more sense now, like as we go on :D!

  28. chahnatailor
    • 2 years ago
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    So, then can you figure out what to do for ^3 √b^6

  29. heathernelly
    • 2 years ago
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    yess, tyy!

  30. chahnatailor
    • 2 years ago
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    glad to help :)

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