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The area of a rectangle is 54x^9y^8 square yards. If the length of the rectangle is 6x^3y^4 yards, which expression represents the width of the rectangle in yards?

60x^12y^12
9x^3y^2
9x^6y^4
48x^6y^4

Respuesta :

marcthemathtutor

Answer:

9 x⁶y⁴

Step-by-step explanation:

for a rectangle

area = length x width, (rearranging)

width = area / length

given area = 54x⁹y⁸ and length = 6x³y⁴

width = 54x⁹y⁸ / 6x³y⁴

= (54/6) ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹y⁸ / x³y⁴)

= 9 ( x⁹⁻³y⁸⁻⁴ )

= 9 ( x⁶y⁴ )

= 9 x⁶y⁴

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