Question

Practice multiplying and dividing powers with the same base.
Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen?

A rectangle with length 3 cubed feet and width of 3 squared feet.

Find the area.

1. Multiply powers:    32 · 33

2. Expand each power:  (3 · 3) · (3 · 3 · 3)

3. Simplify:       35

 

Complete each sentence.

The
of the original exponent is the exponent in the power of product.
The dog pen has an area of
square feet.

Answer 1

The sum of the original exponents is the exponent in the power of the product.
The dog pen has an area of 3^5 = 243 square feet.