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Why do I need to understand Radicals and Rational Exponents?

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Why do I need to understand Radicals and Rational Exponents?

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How many of you want to go into the career field of medicine, engineering, finance, physics, computer programming, management, or science? Do you think you will need to understand mathematics in your career? Type your answer in the comment section.

If you want to go into any of the career fields I mentioned, you will need a good understanding of Algebra Ⅱ and our lesson today!

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Standard A2.N.RN.A.1

Today, we will learn about radicals and rational exponents! At the end of this lesson you will be able to say...

1. I can understand how rational exponents relate to radicals.

2. I can rewrite expressions involving radicals into rational exponents and vice versa.

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If it makes you cringe that means you will remember it! Did you like the song?

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This video explains the Zero Exponent Rule which is an important concept to understand. Pay Close Attention!

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What Is The Zero Exponent Rule Explained - Zero As An Exponent - A Number Raised To 0, Zero

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What are Radicals and Rational Exponents?

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What are Radicals and Rational Exponents?

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Not Sure? That's Okay! I have an answer!

Radicals are expressions that contain radicals.

A rational exponent is an exponent that is a fraction.

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Even if your career was not mentioned in the list I mentioned in my previous post, it is still important to understand Algebra Ⅱ concepts because your knowledge about Algebra Ⅱ will be tested on the ACT.

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Radicals and Rational Exponents | YouTube

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This video is gonna introduce how you convert radicals to rational exponents and Vise Versa.

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Click the link and read the article. After reading the article, exit out of the link and continue your review of Algebra 1 concepts.

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A guide to radicals and rational exponents on the digital SAT

What are the rules of exponent operations?

Powers of products & quotients (integer exponents)

The rules of exponent operations

Adding and subtracting exponential expressions

When adding and subtracting exponential expressions, we're essentially combining like terms. That means we can only combine exponential expressions with both the same base and the same exponent.

Multiplying and dividing exponential expressions

When multiplying two exponential expressions with the same base, we keep the base the same, multiply the coefficients, and add the exponents. Similarly, when dividing two exponential expressions with the same base, we keep the base the same and subtract the exponents.

When multiplying or dividing exponential expressions with the same exponent but different bases, we multiply or divide the bases and keep the exponents the same.

Raising an exponential expression to an exponent and change of base

When raising an exponential expression to an exponent, raise the coefficient of the expression to the exponent, keep the base the same, and multiply the two exponents.

When the bases are numbers, we can use a similar rule to change the base of an exponential expression.

Negative exponents

A base raised to a negative exponent is equivalent to divided by the base raised to the

of the exponent.

Zero exponent

How do the rules of exponent operations apply to rational exponents?

Every rule that applies to integer exponents also applies to rational exponents.

How are radicals and fractional exponents related?

Rewriting roots as rational exponents

Roots and rational exponents

All of the rules that apply to exponential expressions with integer exponents also apply to exponential expressions with fractional exponents. Similarly, for radical expressions:

Things to remember

Adding and subtracting exponential expressions:

Multiplying and dividing exponential expressions:

Raising an exponential expression to an exponent and change of base:

All of the rules that apply to exponential expressions with integer exponents also apply to exponential expressions with fractional exponents.

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Radicals and rational exponents | Lesson (article) | Khan Academy

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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What is Radial Form and Exponential Form?

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What is Radial Form and Exponential Form?

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This Website provides definitions and examples of radical form and exponential form. Please click on the link and read through the article.

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In this section, we will define what rational (or fractional) exponents mean and how to work with them. All of the rules for exponents developed up to this point apply.

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Rewriting Expressions from Radical form to Exponential Form and Vise Versa. 

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Rewriting Expressions from Radical form to Exponential Form and Vise Versa. 

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This video will work you step by step through a worksheet about radicals and rational exponents.

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Kuta Tutorial: radicals and rational exponents

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Please click the link and choose your game mode. Then, play the game and answer a few questions related to what you learned in this lesson.

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Join a solo game of kahoot here. Kahoot! is a free game-based learning platform that makes it fun to learn – any subject, in any language, on any device, for all ages!

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Click on the PDF and answer the questions on a separate sheet of paper or on a Google doc. You will be required to turn your work in before class ends either by handing you paper to me or submitting it online as a PDF. SHOW YOUR WORK!

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ThinkSheet Radical and Rational Exponents.docx (1)

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Are you confused with anything we learned today?

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The definition of Radicals and Rational Exponents 

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Rewriting radical expressions into exponential expressions (and Vise Versa)

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I feel confident that I understood everything from today's lesson.

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How I feel when my students have to leave class.

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How I feel when my students have to leave class.

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However, I hope you all have a great day! See you all tomorrow!

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Login to Google Classroom and take the 4 questions review quiz for Laws of Exponents. Do not sweat it! You will do great!

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