# ﻿Expressions with Exponents

Warmup

Activity #1

Multiplication of Terms with Exponents.

In this activity, you are going to interact with the applet below to study the law of multiplication of terms with exponents. Follow the instructions below.

• On a sheet of paper or your notebook, write the expression in expanded form.
• Click the reset button at the top right.
• Use the sliders to choose a different expression and repeat the steps.
• You can toggle between different bases by clicking on “Change base of number”.
• You can also change the base from a number to a letter by a click on “Change base to letter”.

What can you conclude about multiplying numbers that are written in exponential form?

Activity #2

Division of Terms with Exponents.

In the activity below, you are going to interact with the applet to study the law of division of terms with exponents. Follow the instructions below.

• On a sheet of paper or your notebook, write the expression in expanded form.
• Click on “Show cancelling” to see terms that cancel out.
• Click the reset button at the top right.
• Use the sliders to choose a different expression and repeat the steps.
• You can toggle between different bases by clicking on “Change base of number”.
• You can also change the base from a number to a letter by a click on “Change base to letter”.

What can you conclude about dividing numbers that are written in exponential form?

Activity #3

Exercises on Finding Equivalent Terms.

In this section, you are going to find expressions that are equivalent to each other. There may be more than two equivalent expressions in each list.

• When you correctly select expressions that are equivalent, explain why you think they are equivalent.

Challenge #1

Choose the correct answer by clicking on A or B. Try to score as many points as you can. You can time the exercise and create a record!

Challenge #2

Challenge #3

Quiz Time