Question

Which values of a and b make the following equation true? a = 11, b = 7 a = 11, b = 10 a = 28, b = 7 a = 28, b = 10

Answer 1

Answer:

The answer is

a = 11, b = 7

Step-by-step explanation:

$( {5x}^{7} {y}^{2} )( { - 4x}^{4} {y}^{5} ) = - 20 {x}^{a} {y}^{b}$

Multiply the terms on the left side of the equation

That's

$- 20 {x}^{11} {y}^{7} = - 20 {x}^{a} {y}^{b}$

Since the bases are the same we can equate the exponents

That's

${x}^{11} = {x}^{a}$

a = 11

And

${y}^{7} = {y}^{b}$

b = 11

Therefore

a = 11 and b = 7

Hope this helps you