Exponent properties involving quotients (examples) | 8th grade | Khan Academy

Learn how to simplify expressions like (5^6)/(5^2). Also learn how 1/(a^b) is the same as a^-b. Towards the end of the video, we practice simplifying more complex expressions like (25 * x * y^6)/(20 * y^5 * x^2).

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8th grade on Khan Academy: 8th grade is all about tackling the meat of algebra and getting exposure to some of the foundational concepts in geometry. If you get this stuff (and you should because you're incredibly persistent), the rest of your life will be easy. Okay, maybe not your whole life, but at least your mathematical life. Seriously, if you really get the equations and functions stuff we cover here, most of high school will feel intuitive, even relaxing. (Content was selected for this grade level based on a typical curriculum in the United States.)

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[czteddy]

I doubt Sal (or anyone else from Khan Academy) will ever see this, but if you do, know that this helped me immensely! I'm so happy to be able to understand it for my test tomorrow. Everything in these videos are always done in such an easy to understand manner and it's very much appreciated (also, I very much appreciate the color coding!)

[katiekawaler]

XxTHATGUYxX122 If the bases are different, they cannot be combined using exponent rules. You would have to evaluate each one separately before multiplying or dividing those answers. Don't mix apples and oranges. :)

[James-yvqq]

I have test in this coming up, and you just saved my life! it makes way more sense! THANKYOU!

[TurboCraftBros]

Dude that helps so much with my math homework! Thanks, ur awesome!

[jacenouzen]

I thought in math... having train math is wrong, . 1 + 2 = 3 = so on and so on, , , something like that.

[dominikkannenwischer]

Super helpful video! Thanks Khan Academy!

[jenbroccoli]

I love the colors in the video, 😍😍😍😍😍😍❤❤❤❤❤❤❤✨✨✨✨✨✨✨

[winisning]

You are a life saver, I have an algebra test tomorrow and I’m freaking out I hope I pass

[georgied]

At the very end of the video you had the 5/4 1/x and then y. How come it became y/1 and not 1/y sorry probably really dumb question.

[arianna]

It's supposed to be 3×3×3. Not 3×3. Right?