Evaluating Expressions with Exponents

Warmup

Activity #1

Evaluate Exponential Expressions.

In this activity, you are going to evaluate expressions that are in exponential form. After the exercise, answer the questions that follow.

• Evaluate the expressions in column A. ​
• Enter your answers in the answer column. ​
• Evaluate the expressions in column B and compare the answers with those in column A. Your answers in each row should be the same. If not, find the error.

Consider the equation , An example of 3 different whole numbers that could go in the circles are 3, 4, and 5, since 3² + 4² = 5².

That is, 9 + 16 = 25.

(2.) Can you find a set of 3 different whole numbers that make this equation true?

(3.) How about this one?

Activity #2

Simplify Exponential Expressions. 

In the following activity, you are going to use the laws of exponents to solve multiplication problems. Solve as many problems as time allows you.

• Try to solve the problem first before you click .
• Then check the box for a new problem.

Activity #3

Simplify Exponential Expressions.

In this activity, you are going to use the laws of exponents to solve division problems. The answer to every question has been provided.

• Try to solve the problem first before you click
• Then check the box for a new problem.

• In the applet below, try to solve the problem first before you click .
• Then check the box for a new problem.

Challenge #1

Challenge #2

Challenge #3

Write as a single base to a power.