SBP-Program

f

tw

in

Multiplying monomials with different exponents

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

Examples of multiplying monomials with different exponents

Example of multiplying monomials with different exponents.

Multiply the following monomials with different exponents

15x2 * 2x

Solution.

15x2 * 2x =
15x2 * 2x1 =
(15 * 2) * (x2 * x1) =
(30) * (x2 + 1) = 30x3

The answer: 30x3.

Example of multiplying monomials with different exponents.

Multiply the following monomials with different exponents

10y2z * 5yyz

Solution.

10y2z * 5yyz =
10y2z1 * 5y1y1z1 =
10y2z1 * 5y1 + 1z1 =
10y2z1 * 5y2z1 =
(10 * 5) * (y2 * y2) * (z1 * z1) =
(50) * (y2 + 2) * (z1 + 1) =
50y4z2

Answer: 50y4z2.

Example of multiplying monomials with different exponents.

Multiply the following monomials with different exponents

6a * 6ab2

Solution.

6a * 6ab2 =
6a1 * 6a1b2 =
(6 * 6) * (a1 * a1) * b2 =
(36) * (a1 + 1) * b2 =
36a2b2

Answer: 36a2b2.

Example of multiplying monomials with different exponents.

Multiply the following monomials with different exponents

28y4 * 2y3 * y2

Solution.

28y4 * 2y3 * y2 =
(28 * 2) * (y4 * y3 * y2) =
(56) * (y4 + 3 + 2) =
56y9

Answer: 56y9.