How To Convert Between Exponential Form and Radical Form - Algebra

This algebra video tutorial explains how to convert between the exponential form and radical form of a monomial.

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Square Roots and Cube Roots:

Simplifying Radical Expressions:

Multiplying Radical Expressions:

Adding & Subtracting Radicals:

Simplifying Cube Root Expressions:

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Rationalizing The Denominator:

Multiplying Radicals with Different Indices:

How To Solve Radical Equations:

Solving Equations with Cube Roots:

Solving Complex Radical Equations:

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How To Graph Radical Functions:

Domain of Radical Functions:

How To Graph Cube Root Functions:

Radical Expressions - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[TheOrganicChemistryTutor]

The last answer should be 8x^-5/3. I forgot the negative sign.

[manofmen]

He has millions of subscribers so whatever he uploads, there will be at least 1k people needing that certain video right now. Thats amazing

[sparkly_servantt]

Dude taught me something in a couple of minutes and my teacher has been teaching it for a week

[spirollama]

Sir, I'd like to thank you so much for your help. Not only did I get an A in my chemistry exam but I also topped my class. Your videos are wholesome!!

[georgesadler]

Professor Organic Chemistry Tutor, thank you for showing How to Convert between Exponential Form and Radical Form in Algebra I/II. Mathematics starts with learning basic Algebra. Professor Organic Chemistry Tutor, thanks to the viewers for finding and correcting the error(s) in this video.

[keii.cosplqy]

I LOVE YOU SM WE HAPPENED TO BE LEARNING THIS AND MY CLASSMATES ARE STRUGGLING

[MisterCV_Chess]

Sir i love you but i think 14:07 there is a mistake instead of 8x^5/3, I am quite certain the answer should be 8x^-5/3

[MaxScince]

Isn't the last exponent has a negative sign ? Because we raised them to the numarator ?

[rosechampion]

literally saved my life w this video thank you <3

[OritsuMinamoto]

14:06 8/ ³√x⁵ = 8x^-5/3 not 8/ ³√x⁵ = 8x^5/3

[hwillis]

Nicely done basics. Keep up the good work.

[mkumaar]

Do you want to know what my class teacher did during a test
So I was in 11th grade I had a really important exam I had to about this chapter
It was the day of the exam and I had a doubt about a question
Actually this part was taken in my class 4 months ago so most of my classmates did not knew this
I asked the doubt and my teacher took my notes and asked me to READ!!! from it
I never understood it
But thankfully the question did not come for the exam
After I saw this video
I thought that my teacher failed to teach me but he teached to me within 15 min
Your amazing

[samcruise]

Switching between exponential and radical forms can be tricky at first, but this video makes it so much more manageable! I love how each step is clearly explained with examples. I’ve been working on similar algebra topics, and SolutionInn has been super helpful for extra practice problems.

[OritsuMinamoto]

8:19 if the decimal number is 2 instead of 1 place can i use 100 to multiply

[edwardl]

more correctly, the exponent inside the radical should be outside:

x^(m/n) = (ⁿ√x)^m

this is because when x is negative, the numbers inside the radicals cannot be multiplied together. for example,

(-2)^(1/2) = √-2 = √2 i

(-2)^(2/4) = ⁴√((-2)²) = ⁴√4 = √2

as you can see, the answers are different even though 1/2 and 2/4 are equivalent. but if the exponent is outside the radical,

(-2)^(1/2) = √-2 = √2 i

(-2)^(2/4) = (⁴√-2)² = ((1+i)/⁴√2)² = 2i/√2 = √2 i

as you can see, the answers are now the same.

many people have this misunderstanding because most textbooks and videos (like this one) puts the exponent inside the radical, which is not correct. this is why √(x²) ≠ x, as if x=-5 √((-5)²)=√25=5 and -5≠5.

[bluliite]

You and Brian McLogan are my faves. I enjoy your voice :p

[cxrcinogeneticist]

thank you mr chemistry tutor my ass is hardcore failing algebra rn

[Ali_Hussain]

Hello, what is the best book on algebra and trigonometry? Please respond.😢

[Wahbufet]

Is the last example’s answer correct? Should it be 8x raised to -5/3?

[IbrahimMirza-hu]

Can you create a video for Cylinders and quadratic Surfaces In 3D. Or any calc 3 video related to that