@@Himanshi255 5⁵/10⁵ = (5/10)⁵ Reduce the fraction 5/10 down to 1/2 = (1/2)⁵ This a fraction raised to a power. When you have a fraction raised to a power, apply the power to the numerator and denominator: = 1⁵/2⁵ Simplify 1⁵ = 1 2⁵ = 32 = 1/32 😀
What I found confusing was the “flipping” - when turning a negative exponent into a positive. This actually happens in two videos as per below expressions: 2^-2 = 1/2^2 = 1/4 (whole number turned into a fraction) And (1/2)^-2 = (2/1)^2 = 4/1 Here both terms are flipped. The overall take away I believe, is the desire to “turn negative exponents into a positive exponent”… ? Don’t know if I’m off about this. Major thanks anyways
You bring up a great point! I think most educators teach you to turn the exponents positive simply because it's easier to evaluate that way. Remember, a negative exponent just means you're dividing by the same number over and over again. Or another way to say that is: you're multiplying by the reciprocal over and over again. So an easier 'trick' to do that is just flip your number and turn the exponent positive. Hope that clarifies it a little bit!
If you can't manipulate the powers, these numbers are small enough that you can solve it straight away: 2³=8 5²=25 Final answer = 8/25 We can't reduce that anymore, so that would be your final answer
@@Sid_vx Got it, so there's several ways you could solve it, the easiest would be applying the exponents to the bases since the bases are small numbers and easy to work with. I'm going to rewrite the problem using a ÷ symbol to avoid confusing you with all the fraction bars so: (2/3)²/(1/2)⁶ = (2/3)² ÷ (1/2)⁶ Apply the exponents to the fractions: = 2²/3² ÷ 1⁶/2⁶ = 4/9 ÷ 1/64 To divide a fraction by a fraction, multiply by the reciprocal: (4/9) * (64/1) To multiply fractions, multiply straight across: The Numerator would be 4×64 = 256 The Denominator would be 9×1 = 9 So final answer is 256/9 Can't reduce it so it'd be your final answer. Let me know if that made sense or if you want me to make a video for it to clarify 👍
@@Sid_vx anytime! And don't hesitate to ask if you ever need help 👍 I might make a video with your problem in it anyways because I don't think I've covered a problem specifically like that, so thanks for the question 😁
This seems more like a scientific notation type of problem but one way we can simplify is like this: 0.7 ÷ 1.6 = 0.4375 0.4375 * 10^-19 = 0.4375 * (1/10^19) = 0.4375/(10^19)
Let me know if you need help with a specific problem or example and I'll make a new video for it!
I want you make a video for an example
5 power 5 / 10 power 5. Please sir...
@@Himanshi255
5⁵/10⁵ = (5/10)⁵
Reduce the fraction 5/10 down to 1/2
= (1/2)⁵
This a fraction raised to a power. When you have a fraction raised to a power, apply the power to the numerator and denominator:
= 1⁵/2⁵
Simplify
1⁵ = 1
2⁵ = 32
= 1/32 😀
Thank you very much sir 😌😌
You're friggin awesomazing man! Keep goin, can't wait to see more from ya. Subscribed 💪
I'm happy to help, and thank you so much for the support!
Really helped for preparing for my daughter's test . Couldn't find a suitable video before
Glad it was helpful!
This helped a lot, thank you!
You're welcome!
Ur a genius...thanks a lot...
Nah... YOU'RE the friggin genius 👍
What I found confusing was the “flipping” - when turning a negative exponent into a positive. This actually happens in two videos as per below expressions:
2^-2 = 1/2^2 = 1/4 (whole number turned into a fraction)
And
(1/2)^-2 = (2/1)^2 = 4/1
Here both terms are flipped. The overall take away I believe, is the desire to “turn negative exponents into a positive exponent”… ? Don’t know if I’m off about this. Major thanks anyways
You bring up a great point! I think most educators teach you to turn the exponents positive simply because it's easier to evaluate that way.
Remember, a negative exponent just means you're dividing by the same number over and over again. Or another way to say that is: you're multiplying by the reciprocal over and over again.
So an easier 'trick' to do that is just flip your number and turn the exponent positive. Hope that clarifies it a little bit!
OMG I found new great teacher! thanks sir im gonna share u to my classmates ^^
Wow, thank you!
I just fell in love with your channel ^//^
That's so nice of you, thank you! I hope I can continue to help and provide value 😄 🙏
Thank you! This helped a lot :) You earned a subscriber :D
I'm happy to help, and thank you! 😄
Very useful information
.thank you
I'm glad you found it helpful!
This helped alot sir!Here's you're sub*
I'm glad it helped, and thanks you!
Thank you sir!
You are welcome! :D
I want to know what will be the answer for 3 power 2 divided by 5 power 2
3² ÷ 5² = (3÷5)² = (0.6)² = 0.36 👍
Thanks man it helped a lot
No problem 👍
Got in mind
such a great video! thank u!!
Happy to help!
thx rlly helped
I'm glad it helped!
Can you be my math teacher? You're so great!
Lol I appreciate that 😆 and I'm always here if you have any questions!
What if. 2³÷5². Please solve this without expanding their powers .
If you can't manipulate the powers, these numbers are small enough that you can solve it straight away:
2³=8
5²=25
Final answer = 8/25
We can't reduce that anymore, so that would be your final answer
Thank you sir 😇
You're so welcome!
what would you do if the base was like 2/3 and it doesn't divide into a whole number?
Hmm... you want to give me the exact problem?
@@Eat_Pi sure (2/3)^2 but the full question is (2/3)^2 / (1/2)^6
@@Sid_vx Got it, so there's several ways you could solve it, the easiest would be applying the exponents to the bases since the bases are small numbers and easy to work with.
I'm going to rewrite the problem using a ÷ symbol to avoid confusing you with all the fraction bars so:
(2/3)²/(1/2)⁶ = (2/3)² ÷ (1/2)⁶
Apply the exponents to the fractions:
= 2²/3² ÷ 1⁶/2⁶
= 4/9 ÷ 1/64
To divide a fraction by a fraction, multiply by the reciprocal:
(4/9) * (64/1)
To multiply fractions, multiply straight across:
The Numerator would be 4×64 = 256
The Denominator would be 9×1 = 9
So final answer is 256/9
Can't reduce it so it'd be your final answer. Let me know if that made sense or if you want me to make a video for it to clarify 👍
@@Eat_Pi Thank you so much ! I've been stuck on this question for so long and couldn't find anything on it
@@Sid_vx anytime! And don't hesitate to ask if you ever need help 👍
I might make a video with your problem in it anyways because I don't think I've covered a problem specifically like that, so thanks for the question 😁
How to solve when both bases and exponents are diffrent
Here you go:
th-cam.com/video/KoNwI_2OHCU/w-d-xo.html
Great
I am 100th subcriber
Thanks brosef (or brosefina)! I'm going to remember you put me there LOL
What is 0.7÷1.6×10^-19
This seems more like a scientific notation type of problem but one way we can simplify is like this:
0.7 ÷ 1.6 = 0.4375
0.4375 * 10^-19 = 0.4375 * (1/10^19) = 0.4375/(10^19)
Q👍👍👍
@@bravikumar8950 👍😃👍