Answer:
The answer is
a = 11, b = 7
Step-by-step explanation:
[tex]( {5x}^{7} {y}^{2} )( { - 4x}^{4} {y}^{5} ) = - 20 {x}^{a} {y}^{b} [/tex]
Multiply the terms on the left side of the equation
That's
[tex] - 20 {x}^{11} {y}^{7} = - 20 {x}^{a} {y}^{b} [/tex]
Since the bases are the same we can equate the exponents
That's
[tex] {x}^{11} = {x}^{a} [/tex]
a = 11
And
[tex] {y}^{7} = {y}^{b} [/tex]
b = 11
Therefore
a = 11 and b = 7
Hope this helps you
