Multiply Different Exponents and Bases | Rare Exponent Rule | Eat Pi

In this video, I teach you how to multiply exponents that have different bases AND different exponents (powers). I also teach you an uncommon rule that allows you to flip the exponents to simplify the problem.
There are a couple playlists attached at the end of the video if you need help with any other topics.
If you have any questions, please leave them in the comment section below! Also, if you find the videos helpful, please like, share, and subscribe!

[@ved01010]

My bro knew the square of 54 in a sec 🗿

[@Eat_Pi]

bro is a friggin genius

[@sufiyanhussain6040]

yes why not he's really a genius

[@saladamolina5991]

Thanks man, U really made me not fail my exam, getting a 6/7 instead of last years 4/7

[@Eat_Pi]

Great job, that's awesome! And I'm happy I could help :D

[@user-go2do2ug5s]

bro god bless you i watch ur vid before every test xD

[@Eat_Pi]

lmao I'm happy to help! And I think I might start doing some test review videos in that case 😄

[@nicka9803]

you have a new subscriber because of this thanks

[@Eat_Pi]

That means a lot, thank you for the support, I'm really glad I could help! 🙏

[@samanvitabilurkar6027]

Thanks dudeeee i have a test today and this gonna help ❤️❤️❤️

[@Eat_Pi]

GL on your test, youre gonna crush it u friggin genius! :D

[@BushraMasood1-0]

Bro aced the question 🎉🎉❤❤

[@danishamvlogsgamesandcraft4946]

Thank u so much

[@raytasmin6535]

omg thank you so much!!

[@Eat_Pi]

Happy to help!

[@itz_alex8870]

Haha thanks i have a entrance exam to go back to my old school that i left thanks

[@Eat_Pi]

Goodluck on your exam! Ur gonna crush it 💪😎

[@dabman1234]

god bless you pe causa

[@Eat_Pi]

So happy to help 🙏

[@mayuri374]

Thank a lot you clear my dout

[@Eat_Pi]

You are most welcome!

[@hawardchanda6107]

(8x-²) (9x²)

[@Eat_Pi]

First thing you notice is the negative exponent. Negative exponent flips the number into a fraction. So:
8x-² = 1/8x²
When you flip it into a fraction, make sure to turn the exponent POSITIVE.
So the real problem is 1/8x² * 9x²
To multiply Fractions, just multiply straight across. So on top we have:
1*9x² = 9x²
On the bottom we just have 8x²
So the complete fraction is:
9x²/8x²
Notice we have an x² on the top and bottom, so they cancel out. So all we're left with is 9/8
That's the final answer 👍
Hope that helps!

[@UdTeddy]

Thanks i have my exams tomorrow

[@Eat_Pi]

Hope you crushed that exam like a friggin genius 💪

[@anilchaudhary803]

Good sir

[@Eat_Pi]

I'm glad you think so!

[@khadejakhanam5431]

Are you from which country

[@_blac.k_697]

What would 6'4 x 8'3 be? I got 96'3 but I think it's wrong

[@Eat_Pi]

Another way we can solve exponents is by splitting them up. Here an example: th-cam.com/users/shortsbDhJuZUwYUw?si=jXgKY1wV_ut-2VIw
For your specific problem, we can split it up like this:
6⁴ x 8³
6 x 6³ x 8³
6 x (6x8)³
6 x (48)³
This is about as simplified as we can write it, but you could plug it into your calculator to get a final answer:
6 x 110,592
= 663,552 👍

[@chenchengutaya5823]

How to multiply different bases but same exponent?

[@Eat_Pi]

Here is a video on how to do that:
th-cam.com/video/vXaJ4bMSqLQ/w-d-xo.html
Let me know if you still have any questions 👍

[@darshanjadhav5695]

Formula for that kind of expression
n n. n
a×b= (a×b)

[@sherlockholmes6990]

If you're going to calculate 54^2, you might as well just calculate, without reducing, 2^2 x 9^3 to begin with. I mean, this technique really doesn't simplify the math, if one wants a final number.

[@taiwanlagi]

I did not under stand

[@Eat_Pi]

I'm sorry to hear that! Is there a certain problem you need help with? There's many different ways you can simplify exponents.

[@shivaltikoo7946]

Hello, guys I have a trick the question is 2² × 9³
Solution :- 2² = (2×2)×(9×9×9)= 2916 simple.🎉

[@justthatonepersonsopinion]

But why switch the 9^3 to the 3 NM I think I got it your making the exponent the same. 😂. Bad math mom here 😅

[@Eat_Pi]

LOL No worries! All I'm doing is rearranging the exponents a bit to simplify the problem.
When solving exponent problems, you want to match up either the bases or exponents.
In this example, the bases are 2 and 9. They dont divide evenly into one another so we cant match them up. So instead, i tried matching up the exponents.
2² is already very simplified so I cant really break it down in any way and rewrite it. However. We can re-write 9³, specifically as (3²)³, because that way we can match up the '2's as an exponent on both numbers.
I hope that helps but please let me know if you still have questions! 👍

[@solitude_kee8986]

What if the power of the other exponent is will not be the same even after flipping?

[@Eat_Pi]

That's a good question, do you have a specific example in mind?

[@solitude_kee8986]

@@Eat_Pi 16 to the power x+1 +20(4 to the power 2x)

[@vglucky8491]

Bro how do you got 27

[@Eat_Pi]

Great question!
3³ = 3 x 3 x 3 = 27

[@isabelle9812]

@@Eat_Pi THANK YOU SO MUCH

[@Eat_Pi]

@@isabelle9812 YOU ARE SO WELCOME 😄

[@leccion5282]

What...?

[@harpic_lover23]

(2 to the power 5) x (7 to the power 9) = ?

[@Eat_Pi]

2, 5, and 7 are all prime numbers so there's no real clean way to simply it since prime numbers are only divisible by 1 and themselves.

[@clintonoraka8946]

After flipping 3^3]^2= 27]^2 it's not equal to 9

[@Eat_Pi]

You're right, but I never said it was. I said they're both equal to 3⁶. And since they're both equal to 3⁶, we can move their exponents around 👍

[@Mymonkeyisnotfound]

😢

[@Eat_Pi]

😅

[@moizaxhykhh45]

Weird