Trevor is tiling his bathroom floor, which has an area that is represented as 120r3 square inches. Each tile has an area of square root of the quantity 16 r to the ninth power. The total number of tiles used can be represented by the expression below.
one hundred twenty r to the third power, all over the square root of the quantity sixteen r to the ninth power.

Question

Trevor is tiling his bathroom floor, which has an area that is represented as 120r3 square inches. Each tile has an area of square root of the quantity 16 r to the ninth power. The total number of tiles used can be represented by the expression below.
one hundred twenty r to the third power, all over the square root of the quantity sixteen r to the ninth power.

anonymous · Answer

Let N denote the total number of tiles used

N = (total area)/(area of one tile)
  = 175r^5/√(64r^17)

anonymous · Answer

could you explain that a little more please and thank you so much

anonymous · Answer

Simplify the denominator:

√(64r^17) = √(64) √(r^17)
  = 8 √(r^16 * r^1)
  = 8 √(r^16) √r
  = 8 r^8 √r

anonymous · Answer

Putting this into the equation for N,

N = 175r^5 / (8 r^8 √r)
  = (175/8) / (r^3 √r)
  = (175/8) / (r^3 r^½)
  = (175/8) /r^(7/2)

anonymous · Answer

which may also be written

  = (175/8) r^(-7/2)

anonymous · Answer

thank you!!!!!!!!

anonymous · Answer

medal please ?