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Division of Monomial by Another Monomial Video Lecture | Mathematics (Maths) Class 8

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FAQs on Division of Monomial by Another Monomial Video Lecture - Mathematics (Maths) Class 8

1. What is division of monomial by another monomial?
Ans. Division of monomial by another monomial is the process of dividing one monomial expression by another monomial expression. This is done by dividing the coefficients of the monomials and then dividing the variables by subtracting their exponents.
2. How do you divide monomials with the same base?
Ans. When dividing monomials with the same base, you subtract the exponents of the variables. For example, when dividing x^3 by x^2, you subtract the exponents to get x^(3-2) = x^1 = x.
3. Can you divide a monomial by a binomial?
Ans. Yes, you can divide a monomial by a binomial. This is done by dividing each term of the monomial by each term of the binomial using the rules of division of monomials.
4. What is the result of dividing 8x^4y^2 by 4xy?
Ans. To divide 8x^4y^2 by 4xy, you first divide the coefficients (8 ÷ 4 = 2), then divide the variables (x^4 ÷ x = x^(4-1) = x^3, y^2 ÷ y = y^(2-1) = y), so the result is 2x^3y.
5. How is division of monomials related to simplifying algebraic expressions?
Ans. Division of monomials is an essential step in simplifying algebraic expressions. By dividing monomials, you can simplify complex expressions by reducing them to simpler forms, making it easier to solve equations and perform operations.
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