anonymous
  • anonymous
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.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
lets work it one part at a time. I want to do the denominator first
anonymous
  • anonymous
\[\sqrt{64r^{17}}=\sqrt{64}\sqrt{r^{17}}=8(r^{17})^\frac{ 1 }{ 2 }=8r^{ \frac{ 17 }{ 2 }}\]
anonymous
  • anonymous
Does that make sense to you? Any questions on this part?

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anonymous
  • anonymous
nope. i got that part.
anonymous
  • anonymous
Now put them together. \[\frac{ 175r^5 }{ 8r^{\frac{ 17 }{ 2 } }}=\frac{ 175 }{ 8 }\frac{ r^5 }{ r^{\frac{ 17 }{ 2 }} }\]
anonymous
  • anonymous
\[\frac{ x^n }{ x^m }=x^{(n-m)}\]
anonymous
  • anonymous
Any questions so far?
anonymous
  • anonymous
using the formula I gave you. I want you to simplify the r's. let me know what you get
anonymous
  • anonymous
how would yu simplify the 17/2?
anonymous
  • anonymous
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
anonymous
  • anonymous
oh okay. i think i got it
anonymous
  • anonymous
If you post your answer I'll check it.

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