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Dividing monomials with different exponents

How to divide monomials with different exponents? How do you divide monomials with different exponents?

Examples of dividing monomials with different exponents

Example of dividing monomials with different exponents.

Divide the following monomials with different exponents

58y3 / (2y)

Solution.

58y3 / (2y) =
58y3 / (2y1) =
(58 / 2) * (y3 / y1) =
(29) * (y3 - 1) = 29y2

The answer: 29y2.

Example of dividing monomials with different exponents.

Divide the following monomials with different exponents

20y2z / (4y)

Solution.

20y2z / (4y) =
20y2z / (4y1) =
(20 / 4) * (y2 / y1) * z =
(5) * (y2 - 1) * z =
5 * y * z = 5yz

Answer: 5yz.

Example of dividing monomials with different exponents.

Divide the following monomials with different exponents

2.2r8 / (2r2)

Solution.

2.2r8 / (2r2) =
(2.2 / 2) * (r8 / r2) =
(1.1) * (r8 - 2) =
1.1 * r6 = 1.1r6

Answer: 1.1r6.

Example of dividing monomials with different exponents.

Divide the following monomials with different exponents

10y-5 / (2y-9)

Solution.

10y-5 / (2y-9) =
(10 / 5) * (y-5 / y-9) =
(2) * (y-5 - (-9)) =
2 * (y4) = 2y4

Answer: 2y4.