S. C. Farms is planning to harvest its sugar cane crop. If the length of the farm is 3^7 yards and the width is 3^4 yards, what is the area of the sugar cane field they plan to harvest?

A. 3^11 square yards

B. 3^28 square yards

C. 9^11 square yards

D. 9^28 square yards

A. 3¹¹ yards.

Step-by-step explanation:

We are given the dimensions of the sugar cane farm,

Length = 3⁷ yards and Width = 3⁴ yards.

Since, area of a rectangle = Length * Width

We get,

Area of the sugar cane farm = 3⁷ * 3⁴

i. e. Area of the sugar cane farm = 3⁷⁺⁴

i. e. Area of the sugar cane farm = 3¹¹ yards

Hence, area of the sugar cane filed is 3¹¹ yards.

So, option A is correct.