# 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.

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