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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Mathematics

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24 July, 11:56

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

+1

Answers (1)

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Vaughn Wilkinson · Answer 1

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)

For the next three problems, evaluate each expression if x = - 2, y=4, and z=-31. (4 - 2x) ^-22. (y - z) ^-33. (x - 5y) ^0

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