'Exploration: Division Rules Of Exponents' Algebra Worksheet printable pdf download

'Exploration: Division Rules Of Exponents' Algebra Worksheet

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Class/Block: _______ Date: __________

Exploration: Division Rules of Exponents

Introduction

In this exploration you will use the Exponents - Division Rule with Coefficients applet to explore division

properties of exponents.

Step 1: Launch the Exponents - Division Rule with Coefficients applet

Check the Colors checkbox to make each part of the term a different color.

Move the sliders up and down and observe what happens to the coefficients and terms.

Step 2: Move the sliders to set up the problem provided.

Move the black sliders until the numbers at the front of the terms (the coefficients) disappear

Move the

red

and

green

sliders until the y variables disappear

Move the

blue

slider until the exponent associated with x in the numerator is equal to 5

Move the

pink

slider until the exponent associated with x in the denominator is equal to 4

Step 3: Check the Expanded Form checkbox to see the term expanded out.

- Notice how many times the term in the numerator and denominator is repeated.

How does the number of times repeated relate to the exponent?

Step 4: Check the Shade Pairs of 1 checkbox

Notice how the factors of x can be divided out of the numerator and denominator

Step 5: Check the Division Rule checkbox.

Step 6: Fill in the table for example provided.

Example:

Original Expression

Expanded Form

Division Rule with Solution

5 - 4

= x

This resource was collaboratively designed by OER in Mathematics Professional Development Project partners from Maine

RSU#54 & RSU#11 and staff from Education Development Center, Inc. This work is licensed under the Creative Commons

Attribution-Non Commercial-Share Alike 3.0 License.

'Exploration: Division Rules Of Exponents' Algebra Worksheet