SOLUTION: I need help with a problem or expression, which ever it may be. What is (24x3rddegree y6thdegree)-1/3 Please explain this to me, and how the degrees cancel out and so on. Im

Algebra ->  Expressions-with-variables -> SOLUTION: I need help with a problem or expression, which ever it may be. What is (24x3rddegree y6thdegree)-1/3 Please explain this to me, and how the degrees cancel out and so on. Im      Log On


   

Question 1183966: I need help with a problem or expression, which ever it may be.
What is
(24x3rddegree y6thdegree)-1/3
Please explain this to me, and how the degrees cancel out and so on. Im a bit lost on this issues, please and thank you, so much!
Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite your expression so it can be clearly understood. That appears to be maybe, 24x%5E3%2Ay%5E5-1%2F3.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


In typed text, it is customary to use "^" (shift-6) to represent exponentiation.

In order for your question to make sense, I believe the expression you are working with is ((x^3)(y^6))^(-(1/3)):

%28%28x%5E3%29%28y%5E6%29%29%5E%28-%281%2F3%29%29

Simplifying the expression is a matter of applying basic rules of exponents:

(1) %28x%5Ea%29%5Eb=x%5Eab (a power raised to a power: multiply the powers)

(2) %28x%5E%28-a%29%29=1%2F%28x%5Ea%29 (negative power: reciprocal)

For your expression...



And so then (with the negative exponent)

%28%28x%5E3%29%28y%5E6%29%29%5E%28%28-1%2F3%29%29=1%2F%28xy%5E2%29

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

Exponential expressions - what to read to learn the subject  (in case if you have no a standard textbook)


                The list of links follows.


        (T)   means text file explanations

        (V)   means video-lesson


https://www.astro.princeton.edu/~gk/.PRE-ALG-EM-FALL09/class8.pdf           (T)

https://mathbitsnotebook.com/Algebra2/Exponential/EXExpressions.html       (T)

https://courses.lumenlearning.com/ivytech-collegealgebra/chapter/simplifying-exponential-expressions       (T)


https://www.algebra.com/algebra/homework/Exponents/Laws-of-Exponents%3A-Positive-Exponents.lesson       (T)
https://www.algebra.com/algebra/homework/Exponents/Laws-of-Exponents%3A-Zero-and-Negative-Exponents.lesson       (T)
https://img1.wsimg.com/blobby/go/15f908ec-02ff-4610-88d2-c47cf3b81f83/downloads/1cjd3g1f2_706195.pdf?ver=1565926178923pdf       (T)

https://www.algebra.com/algebra/homework/Exponents/Fractional-Exponents.lesson          (V)
https://www.algebra.com/algebra/homework/Exponents/Fractional-Exponents-with-Negative-Base-Numbers.lesson          (V)


https://www.youtube.com/watch?v=LYE7mbeN4Iw       (V)