The values of a and b make the following equation true (5x^7 y^2) (-4x^4 y^5) = -20x^a y^b would be a = 11 , b = 7.
What is a simplification of an expression?
Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
The given expression is
[tex](5x^7 y^2) (-4x^4 y^5) = -20x^a y^b\\\\\\(5) (-4x^{4+ 7} y^{5+2}) = -20x^a y^b\\\\\-20(x^{11} y^{7}) = -20x^a y^b[/tex]
here, a = 11 , b = 7.
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