8.1 CFU

A farming community begins with one resident. Then every year, the number of residents multiplies by 10. Write an expression using an exponent to represent the number of residents in the community after 5 years.

Mathematical Equivalence

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On a tree, the trunk splits into 5 branches. Then each branch splits into 5 smaller branches, and each of those branches splits into 5 very thin branches. How many very thin branches are on the tree?

Enter the correct answers in the boxes.

​ (a)   or ​ (b)   very thin branches

• 5³
• 125
• 243

Explain this expression.

The number ​ (a)   is used as a repeated factor ​ (b)   times.

• 2
• 10

Explain this expression.

The base of the expression is ​ (a)   and the exponent is ​ (b)   .

• 2
• 10

What is the value of this expression? Select all that apply.

• 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

• 1024

• 10 x 10

• 100

• 20