Which values of a and b make the following equation true? (5x?y?)(-4x*ys) –-20x©yo
O a = 11, b= 7
O a = 11, b= 10
O a = 28, b= 7
O a = 28, b = 10

Complete Question is;

Which values of a and b make the following equation true (5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b

Option A - a = 11 and b = 7

Step-by-step 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

step-by-step explanation:

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