SOLUTION: Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
answers
1) 1/ x^2 y^2
2) 4/x^2 y^3
3) x^2 y^3
4) 1/ 4x^2 y
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
answers
1) 1/ x^2 y^2
2) 4/x^2 y^3
3) x^2 y^3
4) 1/ 4x^2 y
Log On
Question 935979: Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
answers
1) 1/ x^2 y^2
2) 4/x^2 y^3
3) x^2 y^3
4) 1/ 4x^2 y^3 Found 3 solutions by stanbon, Alan3354, MathLover1:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
-----------------
(2xy^2)^-1 * (2/x^3y)
-----
= 2/[2xy^2*x^3y)
------
= 1/[x^4y^3]
=========================
Cheers,
Stan H.
-------------------------
answers
1) 1/ x^2 y^2
2) 4/x^2 y^3
3) x^2 y^3
4) 1/ 4x^2 y^3
You can put this solution on YOUR website! Simplify the expression (8x^-3 y^6)^-1/3 (2x^-3 y^-1) so that the result is in terms of positive exponents, only.
-----------
(8x^-3 y^6)^-1/3 (2x^-3 y^-1)
Assuming -1/3 is an exponent:
= (2x^-3 y^-1)/(8x^-3 y^6)^(1/3)
= (2x^-3 y^-1)/(2x^-1 y^2)
= y^-1/(x^2y^2)
= 1/(x^2y^3)
(