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.

Question

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.

anonymous · Answer

lets work it one part at a time. I want to do the denominator first

anonymous · Answer

$$\sqrt{64r^{17}}=\sqrt{64}\sqrt{r^{17}}=8(r^{17})^\frac{ 1 }{ 2 }=8r^{ \frac{ 17 }{ 2 }}$$

anonymous · Answer

Does that make sense to you? Any questions on this part?

anonymous · Answer

nope. i got that part.

anonymous · Answer

Now put them together. $$\frac{ 175r^5 }{ 8r^{\frac{ 17 }{ 2 } }}=\frac{ 175 }{ 8 }\frac{ r^5 }{ r^{\frac{ 17 }{ 2 }} }$$

anonymous · Answer

$$\frac{ x^n }{ x^m }=x^{(n-m)}$$

anonymous · Answer

Any questions so far?

anonymous · Answer

using the formula I gave you. I want you to simplify the r's. let me know what you get

anonymous · Answer

how would yu simplify the 17/2?

anonymous · Answer

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 · Answer

oh okay. i think i got it

anonymous · Answer

If you post your answer I'll check it.