The value of k that would satisfy the expression is "1". How to get this, the solution is shown below: xky4 (2x3 + 7x2y4) = 2x4y4 + 7x3y8 Distribute xy4 to the parentheses such as: k (2x4y4 + 7x3y8) = 2x4y4 + 7x3y8 Divide both sides by 2x4y4 + 7x3y8 such as shown below: k = (2x4y4 + 7x3y8) / (2x4y4 + 7x3y8) k=1