SOLUTION: If z =1/2, which expression has the greatest value? 1. (z^-2 z^5)^-2 2. (z^3)^5 3. z^-6 z^4 4.-(z^2 z^-4)^-3

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: If z =1/2, which expression has the greatest value? 1. (z^-2 z^5)^-2 2. (z^3)^5 3. z^-6 z^4 4.-(z^2 z^-4)^-3      Log On


   

Question 1034793: If z =1/2, which expression has the greatest value?
1. (z^-2 z^5)^-2
2. (z^3)^5
3. z^-6 z^4
4.-(z^2 z^-4)^-3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If z =1/2, which expression has the greatest value?
1. (z^-2 z^5)^-2 = (z^3)^-2 = 1/z^6 = 1/(1/2)^6 = 2^6 = 64
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2. (z^3)^5 = z^15 = (1/2)^15 = 1/(2^15)
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3. z^-6 z^4 = z^-2 = (1/2)^-2 = 1/2^2 = 1/4
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4.-(z^2 z^-4)^-3 is negative 64
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Cheers,
Stan H.
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