8 to the 2/3 times 9 to the 1/2 =? Many won’t know the ANSWER!

How to multiply powers with rational exponents.
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[@paulhaye]

Cube root of 8 = 2 Square root of 9 = 3 2/3 cube root of 8 = 4 1/2 square root of 9 = 3 4x3 = 12.

[@JohnPepper-gv1yk]

I'm an older guy, who prices himself about abilities in Math...great to review all your videos, thanks

[@festidious2644]

Nice clean and precise explanation, John. Thank you.

[@mariaolaciregui2128]

Thank you. I enjoy a lot these problems. Thank you .

[@user-on2qf2dh5g]

Thank you! Always so helpful.

[@pacifist201203089]

Nice and abundant explanation, Thank you.

[@aryusure1943]

Well, this was more challenging. I hope I'll be able to do one similar problem on my own next time. ;)

[@peterbradshaw8018]

Write the integer value of the terms and then multiply those values. Use the order of precedence. Exponentiation and roots before multiplication.

[@czarkbrooks]

Just as there are two square roots of nine, there are three cube roots of eight. Two of the answers are real: twelve and negative twelve. The other four answers also have magnitude twelve in the complex plane.

[@russelllomando8460]

wow, i actually got it. thanks

[@Sailor376also]

Is there a more clear way to write the original problem? As it was written, I took it to mean 8.667 X 9.5 Eight and 2/3rds times 9 and a half

[@adamlea6339]

There are two possible solutions, 12 and -12 since 9^(1/2) can be 3 or -3. If it had instead been 8^(2/3) x 27^(1/3) you would have had a unique real answer.

[@mariaolaciregui2128]

12

[@jh2519]

Is there a reason we are leaving off -3 for sqr root of 9? So the answer can be 12 or -12?

[@harrymatabal8448]

√9=3 not -3

[@johnnyllooddte3415]

i would say 4 and x 3 but why im not sure

[@paulschwab786]

82.327

[@tomtke7351]

where did this wording come from? The hills of Kentucky??

[@festidious2644]

It came from the hills of Kentucky! Just kidding...had to say that.

[@DH-jt1bw]

pie r round, cornbread r ם ... kintuckie for sure

[@tomtke7351]

@@DH-jt1bw I was wrong to single out Kentucky... It is as 21st century as anywhere. Maybe I should have used "Bug Tussel" of the Beverly Hillbillies. I was having a difficult day when reading, "8 to the 2/3," and just reacted wrongly. However, I would have preferred to read, "8 to the 2/3rds POWER." My apologies to EVERYONE!

[@DH-jt1bw]

@@tomtke7351 no insult here, brother it was all in lighthearted fun I have a lot of friends that live in Kentucky. They’re great it’s a beautiful state no insult intended myself. Thank you.

[@tomtke7351]

@@DH-jt1bw For most parts... The entire U.S. has beauty in abundance.

[@nicholasb8900]

I guess I did it wrong. I did 8 squared which is 64. Then I took the third root of 64 which is 4.

[@Jennianner]

Easy mistake. It's the cube root of 8, multiplied by 2. Which equals 2×2=4

[@jakupi1304]

its correct , sqrt^3(64) is 4, so u get 4*3 which is 12 lmfao , this is primary school math

[@DayanandPandey-ns5qc]

72

[@johnplong3644]

I can’t remember if I got this in Algebra 1 or Algebra 2 By the way we did not have calculators 1974-1976 .I might have had this in Algebra 1

[@laurendoe168]

I got a TI SR10 calculator as a high school graduation present in 1973. Hewlett Packard had calculators that could be programmed in Reverse Polish Notation at about the same time (maybe as much as a year later??)

[@kennethwright870]

Looks like 4x3=12

[@Jennianner]

8^(2/3)*9^(1/2)= 4×3=12

[@journeywithstu7199]

12. Cube root of 8, squared, multiplied by the square root of 9. Happy face.

[@jerry2357]

4*3=12

[@paulschwab786]

Oops

[@mytwocents7527]

Can anyone out here in KZbin land tell me if you ever used trig identities in your career?

[@preparados1917]

Kids are tested for that in school.

[@verncaron3308]

Use them frequently in engineering.

[@mytwocents7527]

I was a controls engineer and a manufacturing engineer. I never needed to use them. I guess I could see it in mechanical engineering.

[@kyleotto4539]

@@mytwocents7527 As a lowly mechanic, I use them all the time. not writing the equation(s) out, but understanding the relationships.

[@DH-jt1bw]

Saw a lot of algebraic stuff in architectural engineering but not much other.. stress and deflection calcs, distance but mostly simple formulas. Nothing that a 5th grader couldn't understand..

[@keithschipiour4684]

Why do average people need to know this if they are not becoming a math teacher or engineer or scientist ?

[@Pd-17]

They don't want to be average🤷‍♂️

[@johnplong3644]

If you Ever plan on going to college ,and get A. Degree ,any type of degree you will have to know how to do this College level Algebra is a REQUIRED class You definitely need to know this to pass college algebra. Tech Schools require this also You want to be Welder you have to know this …Trade schools require you to have College level algebra And some require you to have extensive knowledge of Trigonometry.

[@keithschipiour4684]

@@johnplong3644 I guess then I do not need to learn that since I don't have a college tuition sponsor .well I went trade school for welding I have 13hr college credits and never finished high school

[@laurendoe168]

Math is much more than just numbers; math teaches you how to think. How to critically examine a problem, disassemble it, set goals, and how to achieve them.

[@bigd510]

As an electronic technician I never used algebra but I needed it to pass FCC license tests (which I passed up to a first class license to operate a television station). As far as repairing televisions and other equipment I never needed anything but basic math. I love doing these math problems just for fun even though I'm retired now.

[@osomartinez]

overcomplicated solution. just rewriting the bases with appropriate exponents and simplifying is easier

[@TheBikerDodge]

Many wont even know the question, including me.

[@nigelmansfield3011]

Why not just say the cubed root of 8 squared by the square root of 9. That is how 8^2/3 . 9^1/2 reads as script. The explanation was rather incoherent. 8 squared is 64. the cubed root of 64 is 4. The square root of 9 is 3. 3 times 4 equals 12. 11 year olds can solve this sort of problem easily. There is nothing complicated about mathematics, it is just a language. Like all all languages, you have to learn its syntax and vocabulary. When I was young you got a BA in mathematics rather than a BSc reflecting that Mathematics was considered one of the humanities as it uses inductive and deductive proofs rather than scientific method.

[@gruenpunkt]

12 4x3=12

[@hughmacdonald3595]

lol, yeah we will. and never need to solve this sort of problem EVER again in our lives.

[@Davidbmr1970]

12

[@sekharb6651]

12

[@Dotto19]

12

[@Ca_milo_G]

12

[@Mike80097]

12

[@harrymatabal8448]

12