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use laws of exponents to simplify

(x-1/4y2)4

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Eric Y. | SAT PrepSAT Prep
5.0 5.0 (5 lesson ratings) (5)
1
with exponents it works as follows...
 
 
(3*4) 6 = 36*46            distribute exponents to numbers in parenthesis
 
(22)5 = 2(2*5)              multiply exponents when there are exponents parenthesis
 
2-5 * 33 = 33 /(25)    negative exponent is the same as positive reciprocal
 
 
(x-1/4y2)4
 
Do the steps in that order...
1) distribute the 4 to the x and y terms
2) multiply the exponent that is being distributed
3) put the negative power in the denominator as a positive power
Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
5.0 5.0 (443 lesson ratings) (443)
0
(xayb)c = xacybc
 
In your problem, a = -1/4, b = 2, c = 4.  Plug them in and see what you get.