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Multiplying monomials with exponents

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

Examples of multiplying monomials with exponents

Example of multiplying monomials with exponents.

Multiply the following monomials with exponents

4a2 * 3a

Solution.

4a2 * 3a =
4a2 * 3a1 =
(4 * 3) * (a2 * a1) =
(12) * (a2 + 1) = 12a3

Answer: 12a3.

Example of multiplying monomials with exponents.

Multiply the following monomials with exponents

5.5a4 * 4.4a4

Solution.

5.5a4 * 4.4a4 =
(5.5 * 4.4) * (a4 * a4) =
(24.2) * (a4 + 4) =
24.2a8

Answer: 24.2a8.

Example of multiplying monomials with exponents.

Multiply the following monomials with exponents

6a5 * 3a3b2

Solution.

6a5 * 3a3b2 =
(6 * 3) * (a5 * a3) * b2 =
(18) * (a5 + 3) * b2 =
18a8b2

Answer: 18a8b2.

Example of multiplying monomials with exponents.

Multiply the following monomials with exponents

2a3b2 * 7a6b5

Solution.

2a3b2 * 7a6b5 =
(2 * 7) * (a3 * a6) * (b2 * b5) =
(14) * (a3 + 6) * (b2 + 5) =
14a9b7

Answer: 14a9b7.