SOLUTION: If x = 4 and y = 1/9 evaluate the expression a) 96(x^2y^-1/2)^-2 (x^-3 y)^-1/2 Can you please help me out? Thanks so much in advance:) Also can you please show the steps it wo

Algebra ->  Expressions-with-variables -> SOLUTION: If x = 4 and y = 1/9 evaluate the expression a) 96(x^2y^-1/2)^-2 (x^-3 y)^-1/2 Can you please help me out? Thanks so much in advance:) Also can you please show the steps it wo      Log On


   



Question 749970: If x = 4 and y = 1/9 evaluate the expression
a) 96(x^2y^-1/2)^-2 (x^-3 y)^-1/2
Can you please help me out? Thanks so much in advance:)
Also can you please show the steps it would really help me understand better:)

Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If x = 4 and y = 1/9 evaluate the expression
a) 96(x^2y^-1/2)^-2 (x^-3 y)^-1/2
------
= 96(x^2/sqrt(y))^-2 * 1/sqrt(y/x^3)
------
= 96(4^2/sqrt(1/9))^(-2) * 1/sqrt[(1/9)/64]
------
= 96(16/(1/3))^(-2) * 1/[1/3)/8
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= 96(48)^(-2) * 1/(8/3)
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= 96[1/48^2] * (3/8)
----
= 0.041667*(3/8)
----
= 0.015625
=================
Cheers,
Stan H.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
If x+=+4 and y+=+1%2F9 evaluate the expression:

a) 96%28x%5E2y%5E%28-1%2F2%29%29%5E-2+%28%28x%5E-3%29+y%29%5E%28-1%2F2%29

96%28x%5E2%281%2Fsqrt%28y%29%29%29%5E-2+%28%281%2Fx%5E3%29+y%29%5E%28-1%2F2%29

96%28x%5E2%2Fsqrt%28y%29%29%5E-2+%28y%2Fx%5E3%29%5E%28-1%2F2%29

96%281%2F%28x%5E2%2Fsqrt%28y%29%29%5E2%29%281%2Fsqrt%28%28y%2Fx%5E3%29%29%29



%2896%2F%28x%5E4%2Fy%29%29%28sqrt%28x%5E3%29%2Fsqrt%28y%29%29%29

%2896%2F%28x%5E4%2Fy%29%29%28x%2Asqrt%28x%29%2Fsqrt%28y%29%29%29.....now plug in x+=+4 and y+=+1%2F9

%2896%2F%284%5E4%2F%281%2F9%29%29%29%284%2Asqrt%284%29%2Fsqrt%281%2F9%29%29%29

%2896%2F%28256%2F%281%2F9%29%29%29%28%284%2A2%29%2F%28sqrt%281%29%2Fsqrt%289%29%29%29%29

%2896%2F%28256%2A9%29%29%288%2F%281%2F3%29%29

%2832%2F%28256%2A3%29%29%28%288%2A3%29%2F1%29

32%288%2A3%29%2F%28256%2A3%29

cross%2832%29%288%2Across%283%29%29%2F%28cross%28256%298%2Across%283%29%29

8%2F8

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