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KiArUnsYu

  • 3 years ago

Trevor is tiling his bathroom floor, which has an area that is represented as 175r5 square inches. Each tile has an area of sqrt(64r^17) . The total number of tiles used can be represented by the expression below. 175r^5/sqrt(64r^17) Simplify the expression for the total number of tiles used. Show your work.

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  1. ChmE
    • 3 years ago
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    lets work it one part at a time. I want to do the denominator first

  2. ChmE
    • 3 years ago
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    \[\sqrt{64r^{17}}=\sqrt{64}\sqrt{r^{17}}=8(r^{17})^\frac{ 1 }{ 2 }=8r^{ \frac{ 17 }{ 2 }}\]

  3. ChmE
    • 3 years ago
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    Does that make sense to you? Any questions on this part?

  4. KiArUnsYu
    • 3 years ago
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    nope. i got that part.

  5. ChmE
    • 3 years ago
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    Now put them together. \[\frac{ 175r^5 }{ 8r^{\frac{ 17 }{ 2 } }}=\frac{ 175 }{ 8 }\frac{ r^5 }{ r^{\frac{ 17 }{ 2 }} }\]

  6. ChmE
    • 3 years ago
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    \[\frac{ x^n }{ x^m }=x^{(n-m)}\]

  7. ChmE
    • 3 years ago
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    Any questions so far?

  8. ChmE
    • 3 years ago
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    using the formula I gave you. I want you to simplify the r's. let me know what you get

  9. KiArUnsYu
    • 3 years ago
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    how would yu simplify the 17/2?

  10. ChmE
    • 3 years ago
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    You can't that is the simplest fraction. but you need to cancel with r^5 in the numerator. Use the formula I gave x^(n-m), where n and m are real numbers

  11. KiArUnsYu
    • 3 years ago
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    oh okay. i think i got it

  12. ChmE
    • 3 years ago
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    If you post your answer I'll check it.

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