i) Division of a monomial by another monomial:
A monomial 40xy2 is divided by another monomial 10y will result in 40xy210y=10×4×x×y×y10×y=4xy.
The result of dividing a monomial by another monomial will be a monomial.
ii) Division of a polynomial by a monomial:
Divide each term of the polynomial by the monomial to get the result of the division.
A polynomial 12xyz3+60 is divided by a monomial 4z will result in:
Dividing any polynomial by a monomial will result in a polynomial.
The relation between the power of exponents and division of an algebraic expression by another algebraic expression:
We already learnt about the power of exponents.
The above law of exponents can be used to divide an algebraic expression by another, for instance:
When a monomial is divided by itself, we will get \(1\).