Equations with Indices

[@Infinity-OfficialYt]

I do O/Levels in 2025 and I have a Mathematics Mock Exam tomorrow and without referring my text books, I refer these videos. Your videos helped me so much. Keep up the good work!

[@baoguy]

How is it?did you pass?

[@omaral-jasem2011]

I don't usually comment on videos but I felt like I MUST SAY THANK YOU❤❤

[@ohpolary]

Wow thanks, amazing helped me a lot

[@linganigosalamang8686]

Understood 😊

[@Hemimana]

For the last question, does it mean I don’t need to worry about negative solutions if the denominator is an odd number?

[@1stClassMaths]

Yes

[@lily-x7d]

6:36 i don't understand the factorising part like why can't you just do 5 to the power of 59 - 5 to the power of 57 which is just 5 to the power of 2? and how do you factorise it like i don't understand why it's(5 squared - 1)

[@1stClassMaths]

That is because 5 to the power 59 subtract 5 to the power 57 is not equal to 5 to the power 2. This would be if they were divided. Try yourself. Is 2^5 - 2^3 = 2^2 ?

[@Beck2008]

thought this was gases but at least I managed to practice a-level maths

[@kabeerz8207]

Actually you can square root a negative no., they are generally written in form of i. Such as root of -5 will be 5i

[@1stClassMaths]

This course does not cover complex numbers so we are working with real numbers only. As such, you cannot square root a negative number. The square root of -5 is not 5i, it is actually root5 i.

[@francescac967]

@@1stClassMathspurrr

[@antonionio8940]

@@1stClassMathsdevoured

[@xqnack]

Why is this so HARD

[@sym-ev9mw]

Is q2 not wrong because it’s 4x^1/3 multiplied by x^1/3 so shouldn’t u get 4x^2 and the 2/3??

[@1stClassMaths]

This is the wrong video but for the question you refer to you add the 1/3 and 1/3 to get 2/3. Then the coeffcients multiplied are just 4 x 1 = 4. So that answer is 4x^(2/3)

[@sebreynolds6991]

Do you get given what you need to multiply by at the first step for the last two questions?

[@2_SS1]

I don't think so, what would be the point if they are just telling us a step of the question? Good luck on your exam tomorrow, ive got it too lol

[@lucyrhodes7010]

@@2_SS1a few hours now..good luck!

[@芽衣醬]

About the last question, do you mean the number for x (and x^5/3 and x^-1/3) can be negative but x^2/3 can not be a negative number?

[@1stClassMaths]

It is just the idea that we don't need to dismiss any negative solutions. If there were a power 0.5 though we would.

[@芽衣醬]

​​@@1stClassMaths what about x^1/4 or x^1/6? does it mean x to the power of 1/even denominator will be positive?

[@1stClassMaths]

We cannot have negative x values for those either :)

[@芽衣醬]

@@1stClassMaths thank you for confirmation, just want to make sure my concept is correct:) Btw your videos are really helpful, thank you again.

[@kaidoa1539]

6:01