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?

Answer 1

Everly Taylor

changes by 15

With parentheses

#(2-3)^(2+3)-8xx(3+2)-9#

#(-1)^(5)-8xx(5)-9#

#-1-8xx(5)-9#

#-1-40-9=-50#

Without parentheses

#2-3^2+3-8xx3+2-9#

#2-9+3-8xx3+2-9#

#2-9+3-24+2-9=-35#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Aurora Arias

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.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

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.