OwlSheets
← Exit

National Parks Power Notebook

0 / 14

National Parks Power Notebook

Write and evaluate expressions for a national parks road trip.

Organize the Trip Notebook

An exponent tells how many times the base is used as a factor. Write or evaluate each power.

1.
Amira organizes the road-trip photos into 4 park folders. Each park folder has 4 day folders, and each day folder has 4 photo groups.

Write 4 × 4 × 4 as a power: 4 raised to the exponent . There are photo groups in all.

2.
A page in the trip album has 6 rows with 6 photos in each row. Which expression uses an exponent to represent the total number of photos?
Question 2 options
3.
The notebook includes a calculation practice page. Evaluate the power.

3⁴ =

4.
Luis writes 7³ beside a repeated product in the notebook. Which repeated product has the same value?
Question 4 options
5.
A trip-planning checklist describes a photo archive with 10 × 10 × 10 spaces. Write this product as a power and evaluate it.

Base: ; exponent: ; value: .

Work Through the Calculations

Evaluate the notebook expressions. Use parentheses first, then exponents, before multiplication, division, addition, and subtraction.

6.
The travelers use the expression below to count 5 rows of 5 album photos plus 3 rows of 4 extra photos.

5² + 3 × 4 = photos

7.
A redesigned album page has (5 + 3) rows and (5 + 3) photos in every row. Evaluate the expression for the total.

(5 + 3)² = photos

8.
Evaluate this expression from the trip notebook: 96 ÷ 2³ + 7.
Question 8 options
9.
At each of two park stops, the travelers replace a page holding 6² photos with a page holding 9² photos. Evaluate the expression for the total increase in photo spaces.

2 × (9² − 6²) = additional spaces

10.
For each of three national park stops, the family can choose one of 3 campgrounds. It can also choose one of 2 routes home. Which expression represents the number of possible plans, and what is its value?
Question 10 options

Check the Road-Trip Plans

Use powers to model new situations and check the travelers' reasoning.

11.
At a park stop, each of 4 travelers chooses a square photo sheet with 8 rows of 8 photos. They also choose 9 separate group photos altogether. Which expression represents the total number of photos chosen?
Question 11 options
12.
The family sets aside 50 spaces in a printed journal for two park visits. It selects 2⁵ photos from the first visit and 2⁴ photos from the second. Every selected photo uses one space.

The selected photos use spaces. The journal has unused spaces.

13.
Luis says a square arrangement with 6 rows of 6 park photos contains 12 photos because 6² = 6 × 2. Which statement correctly checks his work?
Question 13 options
14.
Amira makes 3 separate journal pages, one for each of three national parks. Every page has 4 rows with 4 photos in each row. Luis says the total is (3 × 4)² photos. Amira says it is 3 × 4² photos. Who is correct? Evaluate both expressions and explain which one matches the pages.