@@detectivenora No, the fundamentals are very important. Everything you do keeps your mind ready to learn. In your career they are going to have you use multiple aspects of what you have learned to help that company, but the knowledge that is not used will slowly fade over time if you don't practice. That fade depends on the strength of your memory and how often you apply yourself. If you went to college for the piece of paper then I wouldn't expect that you will return much of anything. Therefore it won't be an education it will be a practice in memorizing for tests, cheating the homework, and riding coattails during the labs. You get out of anything what you put into it. It's all about being purpose driven. Is your purpose the attainment of knowledge or of pieces of paper for worldly pleasures? If attaining knowledge is your purpose you will find enjoyment and fulfillment in gathering and sharing the knowledge regardless of financial gain.
i did it another way to save time, i saw that the power is negative so when we flip it its gonna be 64/27 so means no matter how much we simplify it the upper number will be higher and every answer other than c had their denominator higher, quick and easy
Of course it is thats how the formula is designed and I'm not sure what 16/9ths would be or how I could really convert that you might want to add the tip to flip your answer to 9/16ths I understand that I have not seen 9ths in any ruler and 16 over 9 what the hell is that?
thanks a lot, my maths teacher never explains this simply and he just shows a lot of complex methods which are really difficult to understand but this helped me thanks!!
unless you explain why its possibly necessary to "get rid of negative exponent", you haven't taught anything useful other than memorization. The "flipping" you so articulately mentioned is due to fact that original expression equals 1/(64/27)(2/3)
im learning to calculate with letters rn, i am learning things i didnt have yet in my grade from your videos and i wanted to ask if you could do an explanation of how to write out x/3 as an example
I’m honestly rewatching all these videos to refresh my brain before we start state exams in a week These are really good refreshers on stuff that I nearly forgot 😂😂😂
@@ItachiUchiha-gk2dy I would say, in my school in germany, I learned the reciprocal of fractions in 6th grade. The root (nothing else is a fraction as an exponent of a power) maybe in 8th or 9th grade. For example: square root (sqrt) is the exponent ½. Cube root is the exponent ⅓. And ⅔ as an exponent is the cube root of a variable with 2nd power like in the video. And a negative exponent has already been explained.
Dear Justice, what is the purpose of offering 4 solutions? It would simply confuse me. Is it realistic when you must solve a problem in the real world? It is a simple problem that can be solved by straightforward calculation.
I am currently studying for my GRE exam and i have been seeing a lot of your videos pop up that simplify questions i was failing to answer during my study time
Nice example to use some basic strategies: Rewriting terms to a more usable 😢 equivalent term. Using the laws of exponents to simplify. Can the laws of logs help in this problem?
in (64/27)^(2/3), that's the same as ((64/27)^(1/3))^2, which is cbrt(64/27)^2. Ignoring the squared, we can break up cbrt(64/27) into cbrt(64)/cbrt(27). 64 and 27 are both nice perfect cube numbers of 4 and 3, respectively. So cbrt(64)/cbrt(27) = 4/3, and squaring it results in 16/9, our answer.
For example: square root (sqrt) is the exponent ½. Cube root is the exponent ⅓. And ⅔ as an exponent is the cube root of a variable with 2nd power like in the video.
