Trevor is tiling his bathroom floor, which has an area that is represented as 117r4 square inches. Each tile has an area of square root of the quantity 9 r to the thirteenth power . The total number of tiles used can be represented by the expression below.
one hundred seventeen r to the fourth power, all over the square root of the quantity nine r to the thirteenth power

Simplify the expression for the total number of tiles used. Show your work.

Idk how to do it, help ?

Question

Trevor is tiling his bathroom floor, which has an area that is represented as 117r4 square inches. Each tile has an area of square root of the quantity 9 r to the thirteenth power . The total number of tiles used can be represented by the expression below. 
one hundred seventeen r to the fourth power, all over the square root of the quantity nine r to the thirteenth power 

Simplify the expression for the total number of tiles used. Show your work.

Idk how to do it, help ?

anonymous · Answer

I really need help soon if possible :/

anonymous · Answer

Here is the equation:

anonymous · Answer

I would start by getting rid of the square root sign
So square it all, let me know what you get :)

anonymous · Answer

Square the bottom? or the top? or both?

anonymous · Answer

what you do to one you must do to the other
so yep, to both

anonymous · Answer

Would I square the r's?

anonymous · Answer

Would it be 20,709r^4 / sqrt 81r^13?

anonymous · Answer

@sarahusher  ?

anonymous · Answer

Yes you would square the r's, so you should get $$\frac{ (117r ^{4})^{2} }{ (\sqrt{9r ^{13}})^{2} }=\frac{ 13689r ^{8} }{ 9r ^{13} }$$

anonymous · Answer

Okay what do I do now?

anonymous · Answer

so ignoring the numbers for now, if you have 
8 'r's' on the top, and 13 'r's' on the bottom, how can you simplify this?

anonymous · Answer

You subtract them?

anonymous · Answer

^^ by the way, when you square a 'square root' the square root goes away, but the number inside stays the same

anonymous · Answer

Okay got it. So you subract the r's so it's r^13 -r^8, so it's r^5?

anonymous · Answer

yes! so as the 13 is on the bottom (ie it's the bigger one) you will still have 5 lots of 'r' left on the bottom
so now you have$$\frac{ 13689 }{ 9r ^{5} }$$

now can you simplify those numbers?

anonymous · Answer

I'm not sure how to

anonymous · Answer

okay i'll simplify it for you a bit
13689 = 9*1521

So this equation above ^^ can be re written as$$\frac{ 13689 }{ 9r ^{5} }=\frac{9*1521 }{ 9*r ^{5} }$$ Can you see any common factor that you can cancel out?

anonymous · Answer

The 9?

anonymous · Answer

yep! so what would you get after doing that?

anonymous · Answer

1521/r^5 ?

anonymous · Answer

Great! That's it!

Good work!

anonymous · Answer

Thank's so much! You were great help ! :)

anonymous · Answer

You're very welcome!