Complete Question is;
Which values of a and b make the following equation true (5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b
Answer:
Option A - a = 11 and b = 7
Explanation:
We are given the equation as;
(5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b
In algebra, we know that, zⁿ × z² = z^(n + 2).
Thus, collecting like terms in powers on left hand side, we have;
-20(x^(7 + 4)) × (y^(2 + 5)) = -20x^a • y^b
-20(x^(11))•(y^(7)) = -20x^a • y^b
Comparing the left and right hand side, we have;
a = 11 and b = 7