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

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) (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
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= 96(x^2/sqrt(y))^-2 * 1/sqrt(y/x^3)
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= 96(4^2/sqrt(1/9))^(-2) * 1/sqrt[(1/9)/64]
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= 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) (Show Source): You can put this solution on YOUR website!
If and evaluate the expression:

a)

.....now plug in and

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