Topic : Degree of Expression - The term(s) containing the highest power of the variables in an expression is called the degree of expression.
Find the degree of the expression x7-2x3y5+3xy4-10xy+11
Step 1 : x7-2x3y5+3xy4-10xy+11 (Given in the Question)
Step 2 : The sum of powers of each terms of x and y is 7,8,5,2 respectively, ie., sum of power of x7 = 7; sum of power of -2x3y5 = 8 - Addition of power 3+5=8; sum of power of 3xy4 = 5 - ie., Addition of power 1+5 =6; sum of power of -10xy = 2, since addition of power 1+1 =2) and in the last number power = 0 (there is no power, since it is only a constant )
Step 3 : Terms with highest degree 8
Step 4 : Therefore, degree of the expression is 8.
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