SOLUTION: Simplify using rules of exponents #26. (2x^-1y^2)^-3 #38. (-2y^2/x)^-3 Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify using rules of exponents #26. (2x^-1y^2)^-3 #38. (-2y^2/x)^-3 Thank you.      Log On


   

Question 74020This question is from textbook Intermediate Algebra
: Simplify using rules of exponents
#26.
(2x^-1y^2)^-3


#38.
(-2y^2/x)^-3
Thank you. This question is from textbook Intermediate Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify using rules of exponents
#26.
(2x^-1y^2)^-3
= 2^-3 * x^3 *y^-6
=x^3/(8y^6)
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#38.
(-2y^2/x)^-3
The negative on the exponent means "invert"; the 3 means "cube"
You get:
Invert: [x/(-2y^2)]^3
Cube: x^3 / (-8y^6)
Rewrite as:
= -[x^3/8y^6]
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Cheers,
Stan H.


Cheers,
Stan H.