# How do you evaluate #3\cdot ( - 5) - ( ( - 2) ^ { 3} - 2) ^ { 2}#?

-115

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To evaluate (3 \cdot (-5) - ((-2)^3 - 2)^2), follow the order of operations (PEMDAS/BODMAS):

- Evaluate the exponent ((-2)^3 = -8).
- Subtract 2 from -8.
- Square the result obtained from step 2.
- Multiply -5 by 3.
- Subtract the result of step 3 from the result of step 4.

Step by step:

- ((-2)^3 = -8)
- (-8 - 2 = -10)
- ((-10)^2 = 100)
- (-5 \cdot 3 = -15)
- ( -15 - 100 = -115)

Therefore, (3 \cdot (-5) - ((-2)^3 - 2)^2 = -115).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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