05 - Simplify Irrational Exponents, Part 1 (Radical Exponents, Powers, Pi & More)

In this lesson, you will learn what an irrational exponent is and how to simplify irrational exponents. An irrational exponent is an exponent that can't be written as a fraction. Examples include many radical exponents (exponents that contain square roots, cube roots, and other radicals), and exponents that contain the number Pi. These types of exponents follow the same rules as regular exponents. Rational exponents and irrational exponents can be simplified in a similar manner using the same rules of exponents.

[cbiggles]

Great lesson mate. Really elucidates a concept that is kind of awkward at first. Very clear explanations in your lessons too.Good stuff.

[GetuTsegaye-yu]

Lovely teacher never seen before God bles u

[srikan]

EXCELLENT explanation so far the best .

[shriffokujabi]

I like the way you teach. May God bless you and grant you more knowledge!

[Luca-xlru]

Ah, now this is what I call a good math lesson!

[emnetgizachew]

It is such amazing description .l like it

[sethfrederick]

POV: you realize your teacher has two eye colors
Me:
(BTW love ur vids)

[highveloee]

My brain kinda hurts but even it's a bit complicated I still learned a lot from you :))

[degraj]

for the 21:54 question, couldn't you have just subtracted the whole complex exponent since the base is same? Like sqrt2+2 -(sqrt2-2) and the result will be 3^4, which of course equals 81

[QuangNguyen-dwje]

21:37 what is the black thing that looks like an opening square bracket located in between the = and 81?

[mickeymouse]

These exponent rules aren't totally clear.
A^(sqrt2) = A^2^1/2 = A^(2*1/2) = A
I realize that this is because (A^2)^1/2 =/= A^(2^1/2) but which is which and why when writing should not be glossed over.
The explainations for stacking exponents and fractions I have found are lacking in my opinion. The notation rulings for this stuff has always seemed messy and arbitrary.

[hildapassioncooper]

I didn't understand how you did the calculation from 2square root of 3 down to 2 to the power of 1.732

[sudiptoits]

How did he do that calculation for 2^sq.rt of 3 = 2^1732/1000?

[frankayala]

For some of us, ,,you need to get a pointer and stand aside so we can see your work, ,you have the habit to stand and hide your work

[wangyaru]

I wonder why Im still paying my school teachers….

[luvinmaks]

My son took the common core Chemistry class this year and he absolutely cannot do ANY Chemistry equations let alone balance a chemical equation. I''m not able to do it either so I feel I've failed him this year by not being able to help him (11th grade)

[anakhorasani]

Can anyone help me to solve some math questions?
We can talk in Gmail
Plz help.... I can't solve because of lock down I can't call me teacher.