Evaluate the following expression: (2-3)^(2+3)-8*(3+2)-9. By how much does the value of the expression change if the parentheses are removed?
changes by 15
With parentheses
Without parentheses
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First, let's evaluate the expression with the given parentheses:
((2-3)^{2+3} - 8 \times (3+2) - 9)
((-1)^5 - 8 \times 5 - 9)
(-1^5 - 40 - 9)
(-1 - 40 - 9)
(-50)
Now, let's evaluate the expression without the parentheses:
(2 - 3^{2+3} - 8 \times 3 + 2 - 9)
(2 - 3^5 - 8 \times 3 + 2 - 9)
(2 - 243 - 24 + 2 - 9)
(2 - 243 - 24 - 7)
(-272)
The change in value when the parentheses are removed is:
(-50 - (-272))
(222)
So, the value of the expression changes by (222) when the parentheses are removed.
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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.
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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