Power Rule of Exponents - Cool math

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👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to each of the exponents of the individual terms of the expression.
The negative power rule of exponents states that a power with negative exponents is equivalent to the reciprocal of the power with the positive exponent.
Timestamps:
0:00 Intro
2:08 Example #1
2:20 Example #2
3:19 Example #3
4:02 Example #4
8:26 Example #5
8:47 Example #6
8:56 Example #7
9:55 Example #8
Corrections:
9:50 I mistaken the denominator to be an x, which must be a y. Final answer: -8y^6 z^3
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Organized Videos:
✅Simplify Using the Rules of Exponents
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Power Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Product Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Quotient Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Learn About
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Power Rule with Negative Powers
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Quotient Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Product Rule
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Multiply Rational Expressions
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Divide Rational Expressions
• Simplify Using the Rul...
✅Simplify Using the Rules of Exponents | Add Subtract Rational Expressions
• Simplify Using the Rul...
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#Simplfiyexpressions #rulesofexponents #brianmclogan

Опубликовано:

9 июл 2024

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Комментарии : 70

@Kevinchen0710 5 лет назад

Mr.McLogan you made a mistake in your third question The down below should be y^5 y^18-y^12=y^5

@brianmclogan 5 лет назад

I got confused if it was an x or a y, thank you for noticing and letting me know

@joshuasteiner5568 5 лет назад

I like how this comment is a month old on a video from 2012

@lyricplug1268 5 лет назад

@@joshuasteiner5568 Lol, yh😂

@jackwilson4324 5 лет назад

@@brianmclogan the answer would be (-8*y^6*z^3)

@filipborin555 4 года назад

@@joshuasteiner5568 Why not?

@-stev0brlne-602 3 года назад

I'm gonna watch Mr. McLogan's videos right at the beginning of my math classes as soon as my teacher tells us what we're gonna be learning, and I'll have learned it by the time we get to the first problem! I'll look like a genius! *Mr. McLogan you've saved my education!*

@brianmclogan 3 года назад

Haha, happy to help!!

@strikingblazer760 4 года назад

I love how Mr. Mclogan has all of this down in 13 minutes and my teacher takes 75 minutes to explain all of this

@allyssaalegro_ Год назад

Hello Mr. McLogan! For the final answer in example #8, why did you choose to write the two x^2 in the the numerator instead of with the 9?

@emptydreams225 8 лет назад

Mr.McLogan has done it again

@brianmclogan 8 лет назад

+Fabrice Saturne happy to help!

@mamibree 2 года назад

You are so talented at teaching, Teacher! I know you know this I just find it very impressive and I am so grateful for your help.

@brianmclogan 2 года назад

You are so welcome!

@mia9075 3 года назад

Your videos help me so much I was stressing over this

@lailajad3 3 года назад

Best Teacher Ever!

@manny3767 5 лет назад

Very nice' help me make sense thanks. Cool.👍☺

@dboyhmesq3186 5 лет назад

for the fourth question, cant you just flip whats inside the bracket and make the exponent positive?

@Jay-111 2 года назад

This really helped my son! You really explain it in layman’s terms.

@brianmclogan 2 года назад

Happy to help

@randyllarenas3264 2 года назад

Thank you very much sir. This helps me a lot.

@brianmclogan 2 года назад

You are very welcome!!

@morgany8169 4 года назад

thank you!!!!!!!!!!

@ryanjiang40 2 года назад

im a freshman right now and i have a big quiz on exponents coming up. Lets hope this video helps!

@Rochesteradventures4870 5 лет назад

Did he just write a six from middle to top. woah.

@laurenguziak8859 3 года назад

Thank you so much!! I’m in excel math so I’m doing 8th grade math. And I’m failing this class right now. So I could get sent back to normal math. And this helped me soooooo much. THANK YOUUUU

@codyiak 3 месяца назад

I am literally relearning the entire unit as we speak for the unit test tomorrow morning I will come back with an update 😈

@codyiak 3 месяца назад

67 💀

@blackfootindian8258 9 месяцев назад

at the third equation shouldn't the y^2 be y^-2? I don't know why you would just suddenly changed its sign for no reason

@jack_who_is_he 3 года назад

Subbed

@jack_who_is_he 3 года назад

This literally 8 years ago if he’s gonna reply it’s gonna be awsome

@gosnimm7624 4 года назад

Why multiplying only exponents? And not he numbers?

@NancyHernandez-jo3xl 2 года назад

I got confused on the third problem. You flip it to get the reciprocal which is fine. And then you flip it again?

@arymehraban6042 2 года назад

mistake noted in comments.

@alexis5698 3 года назад

I wish u were my teacher

@uyennguyen6827 2 года назад

You saved my life.

@brianmclogan 2 года назад

🙌🙌🙌

@milla7833 3 года назад

id love math if he was my teacher😩

@aakashkarajgikar3935 2 года назад

Like Khan Academy, you also make these kind of videos and post them on a special website? Did you know Khan Academy "Sal Khan" does that!

@annge5730 5 лет назад

wouldn't the third problem be 1 y^6 z^3/8 x^12 to make the -8 not negative?

@brianmclogan 5 лет назад

yes, mistake noted in the comments

@jackwilson4324 5 лет назад

It wouldn't even be that, it would be: y^6*z^3/8, to make the -8, turn into 8, but it doesn't matter anyway if the 8 is +, or -

@Basic-Tron 4 года назад

Mr Brian Mclogan, you have made one TINY mistake in problem #2. Your answer was correct, but wrong at the same time. It wasn't simplified. Here is the simplified answer -8y^6 z^3.

@abdullahsameer8009 3 года назад

9.51 I think you changed your X to a Y in the denominator.

@RideTheGamer 3 года назад

👋👋👋👋

@cristalrobledo9799 5 лет назад

I have a question Mr Brian why did add at the equation in the las almost in the las step instead of multipliyng? 🤔🤔🤔🥴🥴🥴🧐🧐🧐

@mrmenw 4 года назад

rule of exponents power x power = power+power...... I think

@hc7781 2 года назад

you made a mistake in one of your examples. you mistaken a y in the denominator for an x therefore the final answer should be -8 y exponent 6 z exponent 3