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Dividing monomials with exponents

How to divide monomials with exponents? How to divide monomials with exponents of one?

Examples of dividing monomials with exponents

Example of dividing monomials with exponents.

Divide the following monomials with exponents

18a3 / (6a)

Solution.

18a3 / (6a) =
(18 / 6) * (a3 / a1) =
(3) * (a3 - 1) = 3a2

Answer: 3a2.

Example of dividing monomials with exponents.

Divide the following monomials with exponents

6.6a5 / (2.2a4)

Solution.

6.6a5 / (2.2a4) =
(6.6 / 2.2) * (a5 / 4) =
(3) * (a5 - 4) =
3 * a1 = 3a

Answer: 3a.

Example of dividing monomials with exponents.

Divide the following monomials with exponents

9a8 / (32)

Solution.

9a8 / (32) =
(9 / (32)) * (a8) =
(9 / 9) * (a8) =
(1) * (a8) = a8

Answer: a8.

Example of dividing monomials with exponents.

Divide the following monomials with exponents

-56a3 / (2a-7)

Solution.

-56a3 / (2a-7)=
(-56 / 2) * (a3 / a-7) =
(-28) * (a3 - (-7)) =
-28 * (a10) = -28a10

Answer: -28a10