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anonymous

  • 4 years ago

Rewrite each expression with positive exponents and simplify. ( –3x^2)^3 *(9x^3)^–1 . i got 243x^3 but its wrong :(

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  1. anonymous
    • 4 years ago
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    Well done for trying. Can you show me your working, either in text, or using Draw, or by scanning/taking a photo and using Attach File?

  2. anonymous
    • 4 years ago
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    sure

  3. anonymous
    • 4 years ago
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    Great

  4. anonymous
    • 4 years ago
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    (-3x^2)^3=-27x^6. (9x^3)^-1=-9x^-3 then i multiplied the two and got 243x^3

  5. anonymous
    • 4 years ago
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    Ok, what should the answer be?

  6. anonymous
    • 4 years ago
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    243x^3

  7. anonymous
    • 4 years ago
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    oh nvm. what SHOULD it be, lol.

  8. anonymous
    • 4 years ago
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    yep :D

  9. anonymous
    • 4 years ago
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    well im thinking i need to get a negative exponent. so that i'll have to put the x in the denominator of a fraction

  10. anonymous
    • 4 years ago
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    |dw:1327952013711:dw| Is this what the question is, before we go any further?

  11. anonymous
    • 4 years ago
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    yep

  12. anonymous
    • 4 years ago
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    Alright, then you got the first bit right, but not the second bit. As you said, negative exponents mean it becomes a denominator.

  13. anonymous
    • 4 years ago
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    Do you know this rule?|dw:1327952197252:dw|

  14. anonymous
    • 4 years ago
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    yes i do.

  15. anonymous
    • 4 years ago
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    so the second part is supposed to be like, -9/x^3

  16. anonymous
    • 4 years ago
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    Great, so the second bit becomes |dw:1327952244545:dw|

  17. anonymous
    • 4 years ago
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    No, that's where you went wrong

  18. anonymous
    • 4 years ago
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    The brackets around the (9x^3) means that all of it goes in the denominator, not just the x^3

  19. anonymous
    • 4 years ago
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    In any case, 9^-1 is 1/9, not -9

  20. anonymous
    • 4 years ago
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    ok, i just miswrote an example my teacher gave me so that threw me off. i was going by that.

  21. anonymous
    • 4 years ago
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    No worries, easy mistake to make :D

  22. anonymous
    • 4 years ago
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    What do you make of the final answer then?

  23. anonymous
    • 4 years ago
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    i got -3x^3

  24. anonymous
    • 4 years ago
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    That seems right to me. Have you got the answers page to check with?

  25. anonymous
    • 4 years ago
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    yep its right. thank you for explaining it!

  26. anonymous
    • 4 years ago
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    You're most welcome! :)

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