SOLUTION: simplify (8x^-6)^1/3? Pos. answers are All fraction form x^6/2 2/x^2 x^2/2 8/x^2

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: simplify (8x^-6)^1/3? Pos. answers are All fraction form x^6/2 2/x^2 x^2/2 8/x^2      Log On


   

Question 886270: simplify (8x^-6)^1/3?
Pos. answers are
All fraction form
x^6/2
2/x^2
x^2/2
8/x^2
Found 3 solutions by josgarithmetic, MathTherapy, jim_thompson5910:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
The CORRECT steps and result are toward the bottom of the page.

The exponents in that arrangement would be multiplied.
(8x)^(-6*(1/3))
(8x)^(-2)
1/(8x)^2
1/(64x^2)
If the render-tagging works correctly then this might look better:

%288x%29%5E%28-6%2A%281%2F3%29%29
%288x%29%5E%28-2%29
1%2F%288x%29%5E2
highlight%28cross%281%2F%2864x%5E2%29%29%29------*---Obviously a mistake made.


----------------------------------------------------------------------------
CORRECT STEPS AND ANSWER:

%288x%5E-6%29%5E%281%2F3%29

8%5E%281%2F3%29%28x%5E-6%29%5E%281%2F3%29

2%2Ax%5E%28-6%2F3%29

2x%5E%28-2%29

highlight%282%2Fx%5E2%29 ----- finally, the correct answer.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

simplify (8x^-6)^1/3?
Pos. answers are
All fraction form
x^6/2
2/x^2
x^2/2
8/x^2


Correct choice: highlight_green%28highlight_green%282%2Fx%5E2%29%29

You can do the check!! 



If you need a complete and detailed solution, let me know!!



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously. 



For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL

MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra, 

Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,

GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
















================================================================

So,



simplifies to