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anonymous

  • one year ago

@astrophysics If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? 143 314 14 ⋅ 3 14 ⋅ 14 ⋅ 14

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  1. Astrophysics
    • one year ago
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    This seems fun, ok so you know that \[y^2 = y \times y\] \[y^5 = y \times y \times y \times y \times y\] right? The exponent just means you multiply it by itself that many times, does that make sense so far?

  2. anonymous
    • one year ago
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    a little bit

  3. Astrophysics
    • one year ago
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    Ok, so when we talk about areas we have 2 dimensions that would mean we have something squared, when we talk about volume we have 3 dimensions so we cube it, let me draw what I mean. |dw:1438982740847:dw| so A here represents area and we know to get area of a square we write it as \[a^2 = a \times a~~~~14^2 = 14 \times 14\] now we have a cube and to find it's volume, we deal with 3 dimensions so it looks as such |dw:1438982814212:dw| notice all the dimensions in a cube are the same so we have volume as \[V =a^3\] so what can we conclude our answer to be? (I know this might be a lot at once, but I hope it helps you understand)

  4. anonymous
    • one year ago
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    14.14.14 i guess

  5. Astrophysics
    • one year ago
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    Good we have \[14 \times 14 \times 14\] but your question asks for it in exponential form, so that will be?

  6. anonymous
    • one year ago
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    14*3

  7. Astrophysics
    • one year ago
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    Remember that exponents are this little number at the top |dw:1438983046511:dw|

  8. anonymous
    • one year ago
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    can someone help me when youre done here?

  9. Astrophysics
    • one year ago
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    Do you mean? \[14^3\]

  10. anonymous
    • one year ago
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    ya i do

  11. Astrophysics
    • one year ago
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    Yes, exactly :)

  12. anonymous
    • one year ago
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    Simplify the expression 63 + 5(4 − 2). 28 36 226 234

  13. Astrophysics
    • one year ago
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    Just follow the order of operations

  14. Astrophysics
    • one year ago
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    But it seems you're missing information?

  15. Astrophysics
    • one year ago
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    \[63 + 5(4 − 2) = 73\]

  16. anonymous
    • one year ago
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    by the way 63 is 6 powerd by 3 and you have to simplify the answer

  17. Astrophysics
    • one year ago
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    Ooh! Ok so use what I've told you already, what do you get

  18. Astrophysics
    • one year ago
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    What does \[6^3 \] mean

  19. anonymous
    • one year ago
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    6.6.6

  20. Astrophysics
    • one year ago
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    Yes, 6 x 6 x 6

  21. Astrophysics
    • one year ago
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    What is that?

  22. anonymous
    • one year ago
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    216

  23. Astrophysics
    • one year ago
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    Right, now we have 216+5(4-2) remember your order of operations? Do what's inside the bracket first

  24. anonymous
    • one year ago
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    4-2=2

  25. Astrophysics
    • one year ago
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    Good, keep going

  26. anonymous
    • one year ago
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    216+5+221

  27. anonymous
    • one year ago
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    i dont know what do do with the answers 221 and 2

  28. Astrophysics
    • one year ago
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    Where did you get 221 from?

  29. anonymous
    • one year ago
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    216+5

  30. Astrophysics
    • one year ago
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    Not quite \[216+5(2)\] this is what we have, 5(2) just means multiply

  31. Astrophysics
    • one year ago
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    5 x 2 = ?

  32. anonymous
    • one year ago
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    10

  33. anonymous
    • one year ago
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    226

  34. Astrophysics
    • one year ago
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    When you get into higher math, we don't always put the multiplication sign, we just put brackets or a dot

  35. Astrophysics
    • one year ago
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    Yes 226 :)

  36. anonymous
    • one year ago
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    that my answer

  37. Astrophysics
    • one year ago
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    That is the right answer!

  38. anonymous
    • one year ago
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    5(4x + 2) ÷ 7y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."

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