Math 10C

Chapter 4 Exponents and Radicals

Lesson 43 Rational Exponents

Focus

The FOCUS section introduces the main concept that will be covered in the lesson.

TEXT Page 175

Read/Work through the  Focus  section at the top of page 174 in  your textbook.

Investigate

Investigate an idea or problem, with a partner if possible.
The investigation provides the background for the ideas presented in the lesson.

TEXT Pages 174 - 175

Read/Work through the  Investigate  section on Pages 174 - 175 in your textbook.

Realistically, this investigation requires that you actually understand the lesson!

Do your best, then watch the video for some help with these ideas.

Watch

Video Tutorial

Link the Ideas

Link the Ideas summarizes the math in the lesson.
A presentation of ideas connected to the lesson focus.

TEXT Page 175

Read/Work through the  Link the Ideas  section on Page 175 in your textbook.

NOTE!   There isn’t anything new here!

All we are saying now is that the rules/properties we have already been working with, also work when the exponents are rationals  (fractions)

Examples

Examples will give you TOOLS for solving problems, and also show you that there may be different ways to approach a question.

Example 1  Multiply or Divide Powers With the Same Base

TEXT Pages 175 - 176

Work through Example 1 on Pages 175 - 176 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 2  Simplify Powers With Rational Exponents

TEXT Pages 176 - 177

Work through Example 2 on Pages 176 - 177 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Example 3  Apply Powers With Rational Exponents

TEXT Page 178

Work through Example 3 on Page 178 in your textbook.

Watch

Video Tutorial

Your Turn

YOUR TURN gives YOU the chance to try to do a problem ON YOUR OWN,  using the example as  a model.

Use the Video Tutorial for help, or to check your work, BUT... you should do your best to do this question ON YOUR OWN FIRST!

Video Tutorial

Key Ideas

Key Ideas summarizes the main new concepts of the lesson.

•	Carefully read through each of the bullet points in this section.

•	If you are unclear about any of these ideas,  ASK YOUR TEACHER FOR HELP!

Check Your Understanding    (Practice Problems)

Doing Practice Problems

Practice problems reinforce the math presented in this lesson.

•	Work through the practice problems for this lesson.
	These problems are for practice, you don’t need to hand them in!
	(your teacher may assign specific questions for you to complete)

•	Use the answers in the back of the book to CHECK YOUR WORK!

•	If you make a mistake, TRY TO FIX IT!

•	If you need help or want more information, view the video solutions provided.

•	If you still need more help,  CONTACT YOUR TEACHER!

Types of Practice Problems

Practice questions require basic understanding of the ideas of the  lesson.

Apply questions will require you to dig deeper for a solution.

Extend questions offer enrichment and extension.

Create Connections questions connect the math to everyday contexts.

Mini Lab (optional)  your teacher may or may not have you do these.

Notes

I don’t want to be “nagging” every time I do a question....
Use your calculator as little as possible!!!
Seriously...    if you plan to take further math classes,  the number sense you will develop by NOT using your calculator will be invaluable.

Question 5,    the question  says to use your calculator, totally fine, and some value in that.  I made a video with just some ideas about how you could do at least part  of the question without a calculator, but that is your decision.

Question 16,    some info on folding paper, totally optional.   If you do an Internet search,  you will get many hits.
LINK
https://www.sciencealert.com/watch-what-happens-when-you-try-to-fold-paper-more-than-7-times-with-a-hydraulic-press

Question 18,    I didn’t do a video for this one.

Video Solution Links

Check your work for every problem you do!
If you make a mistake,  try to fix it!
Use the video solutions for more information.
If a problem still doesn’t make sense, ASK YOUR TEACHER FOR HELP!

({{"Question 1", "Question 2", "Question 3", "Question 4", "Question 5"}, {"Question 6", "Question 7", "Question 8", "Question 9", "Question 10"}, {"Question 11", "Question 12", "Question 13", "Question 14", "Question 15"}, {"Question 16", "Question 17",   , "Question 19", }})