Question

For the expression −(pq)^2=−8, choose two unique values between -9 and 9 to substitute for p and q in order to:

a. Maximize the value of the expression.
b. Minimize the expression.
c. Make the expression evaluate to 0.
d. none of the above

Answer 1

To meet the different conditions for the expression −(pq)^2=−8, choose p and q as −9 each to maximize the value, 9 each to minimize the value, and one of them as 0 to make the expression evaluate to 0.

Step-by-step explanation:

For the expression −(pq)^2=−8, we need to choose values for p and q to achieve different outcomes. First, let's rewrite the expression to understand it better: −(pq)^2 means pq is squared and then multiplied by −1, and p and q are the variables we are working with.

• To maximize the value of the expression, we would pick the smallest possible values for pq since a negative sign precedes the square. Thus, selecting p and q to be the smallest values in the given range, such as −9 each, will result in the largest value for the expression.
• To minimize the expression, we would need to pick the largest values for pq, such as 9 each, to get the smallest (most negative) result after squaring and applying the negative sign.
• To make the expression evaluate to 0, p or q must be 0 because any number multiplied by 0 results in 0.
• The 'none of the above' option does not apply here as the other choices are comprehensive for the expression given.