buggyballet buggyballet

10-08-2016
Mathematics

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For the next three problems, evaluate each expression if x= -2, y=4, and z=-3
1. (4 - 2x)^-2
2. (y - z)^-3
3. (x - 5y)^0

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texaschic101 texaschic101

10-08-2016

exponent rule : n^-x = 1/n^x
1.) (4 - 2(-2))^ -2 = (4 + 2)^-2 = 6^-2 = 1/6^2 = 1/36

2.) (y - z) ^-3 = (4 - (-3))^-3 = (4 + 3)^-3 = 7^-3 = 1/7^3 = 1/343

3.) (-2 - 5(4)^0 = (-2-20)^0 = -22^0 = 1 (any number to the 0 power is 1)

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