13 - Exponent Rules of Algebra (Laws of Exponents, How to Multiply & Add Exponents)

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In this lesson you will learn how to simplify expressions that involve exponents. First we will review the exponent laws, which tells us when we can add exponents together and when we can multiply exponents.

Next, we will practice simplifying expressions that involve exponents by applying the power rules and exponent laws of algebra.
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this guy is a great teacher - excellent example of what other teachers should strive to be.

MatthewHALOstar
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I am 76 years old. Math was the only subject in high school that I liked. I made below average in all my subjects except math. I made A’s in math, I loved it. Didn’t take algebra but I am really enjoying yours on YouTube. You are the best teacher I have ever listened to. I also earned a 2 year computer programming degree at a local community college many years later. But life got in the way and I never completed my programming career. I really like hearing you teach, keep it up, you are great at it.

herbertduncan
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I’m currently working on getting my GED and I’m having to go back to basics. Exponents seem so confusing but this teacher is phenomenal. For the first time I was able to follow along and not be confused. Big thanks!

Lyttits
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This is the most comprehensive video I've seen on exponent laws. Thank you!

mistyclontz
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You're AMAZING I LEARNED SOME MATH TODAY!! I NEVER WAS TOUGHT THIS!!!😊😊

BostonLatinxoxo
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names of the laws

law of negative exponent
= x^-n = (1/x)^n

product of powers
= x^m×x^n = x^m+n

power of power
=(x^m)^n = x^m×n

Power of product
=(xy)^m = x^m × x^y


Quotient of power
=(x^m/x^n = x^m-n)

fractional exponent
=x^m/n = n^radical am

userfh
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innocencyike
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Fantastic job of explaining the various rules for simplifying exponents.

ahucatitlan
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maryellenreed
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Makes it very intuitive and is very thorough and literally drives the concept into you. One of the best instructors I've seen on U-Tube and I've seen many.

ronschwartz
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im going to college in a few days and i already forgot the basics. thank you for this!! this is so good, i love your explanation, how you break down the examples, this is exactly what im looking for haha i dont think my teacher in highschool explained this lesson in such a way.

islar
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This is why I love youtube math because if you dont get it you can rewind and then you can pause to stop and work them out

bretbailey
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mpembemireille-ewjc
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I understand a little more everyday. It took me 2 weeks to learn fractions!! I’m starting to finally understand a little. More algebra videos please!!

barbsizemore
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aishajumawan
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willowillotech
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MadisonLeighAng
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