Question

Mr. Daniels is building a clubhouse for his children. He has decided that the floor will be square with an area of 64 square feet. Write this number using a power greater than 1 and a lesser base.

Answer 1

64 sq ft = ( 8 ft) ²

Explanation:

Here, given:

The area of the square floor = 64 sq. ft

Now, as given the floor is in the shape of a square.

Let us assume the side length of the floor = k ft

Area of a square = (Side) x (Side)

= k x k = 64 sq ft

⇒ k ² = 64 = (8) ²

⇒ k = 8 ft

Hence, 64 sq ft = ( 8 ft) ²

Here, base = 8 and power = 2, which is greater than 1.