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
Ok so to be clear, the "117r4" you have written is actually "117r^4" correct?
Yes
Ok so let's draw the bathroom floor without tiles first and label the area for a start. |dw:1409100022398:dw|
Ok :D
Ok, the number of tiles is represented by the written form of this: \[117r ^{4}/\sqrt{9r ^{13}}\] Each tile has an area of: \[9r ^{13}\] So since there are the number of these tiles within the expression I wrote first, we will divide the first expression by a single tile (written right above) to see how many tiles there are.
So 117 by 9?
|dw:1409100311243:dw|
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