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the unknowns must be the same variable and the exponents have to be the same. examples) x4 + y4 cannot be added because they are not the same variable. x3 + x2 cannot be added because they have different exponents. 3y6 + 5y6 can be added because they have the same variable and exponents. (answer: 8y6)
Yes, monomials can have negative exponents. When a monomial has a negative exponent, it means that the variable or variables in the monomial are in the denominator of the fraction. For example, x^(-2) is equivalent to 1/x^2. Negative exponents indicate that the variable should be moved to the opposite side of the fraction line and the exponent becomes positive.
a square is ab square
The same way as you find the square root with an even-numbered exponent. For example, the square root of x10 is x5. That is, divide the exponent by 2. Similarly, the square root of x7 is x3.5. Once again, you simply calculate one-half of the exponent. If you prefer to express this with integer exponents and square roots, in this example you can write x3.5 as x3x0.5. The second part, x0.5, is equivalent to the square root of "x".
The degree of a polynomial is the sum of all of the variable exponents. For example 6x^2 + 3x + 2 has a degree of 3 (2 + 1).