Question

I need an A in Algebra! Somebody please help!! [10.07] Trevor is tiling his bathroom floor, which has an area that is represented as 175r5 square inches. Each tile has an area of one hundred seventy five r to the fifth power, all over the square root of the quantity sixty four r to the seventeenth power. The total number of tiles used can be represented by the expression below.
one hundred seventy five r to the fifth power, all over the square root of the quantity sixty four r to the seventeenth power

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

Answer 1

N = (total area)/(area of one tile)
= 175r^5/√(64r^17)

Simplify the denominator:

√(64r^17) = √(64) √(r^17)
= 8 √(r^16 * r^1)
= 8 √(r^16) √r
= 8 r^8 √r

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)

which may also be written

= (175/8) r^(-7/2)