Question

Write and expression using only positive exponents for the width w of the rectangle

Area= 72 X^7Y^2 and L= 24 X^2Y^3

Answer 1

`\boxed{W = (3X^5)/(Y)}`

Explanation:

Area A =
`72 X^7Y^2`

Length L =
`24 X^2Y^3`

A = L x W where W = width

W = A/L

`(72 X^7Y^2)/(24 X^2Y^3)\\\\\\= 3X^((7-2))Y^((2-3))\\\\= 3 X^5Y^(-1)\\\\\\`

`\textrm{Using the identity }x^(-1) = (1)/(x)\\\\`

we get

`W = (3X^5)/(Y)`