Final answer:
To evaluate the expression (-p)^2q^-2 for p = 4, q = 2, and r = 1, substitute the given values into the expression. The final value is 4.
Step-by-step explanation:
To evaluate the expression (−p)^2q^-2 for p = 4, q = 2, and r = 1, we substitute the given values into the expression.
First, let's calculate (-p)^2:
(-p)² = (-4)²= 16
Next, let's calculate q^-2:
q⁻² = (2)⁻² = 1/2²= 1/4
Now, substitute the calculated values back into the expression:
(−p)²q⁻²= 16 * (1/4) = 4