Question

Determine which of the following expressions are part of the greatest common factor of 54 mrt and 27 mr. Select all

situations that apply.
Plz help me

Answer 1

`54m {n}^(4) = {3}^(3) * 2 * m * {n}^(4) \\ 27 {m}^(3) {n}^(2) = {3}^(3) * {m}^(3) * {n}^(2)\\`

GCF of the two expression 27, m, n²,9.

Both of the expression can be divided by 27, m, n², 9 but 18 can't be divided by 27m³n².

Answer 2

Explanation:

54mn⁴ = 2 * 3³ * m * n⁴

27m³n² = 3³ * m³ * n²

Highest common power of 2 = null

Highest common power of 3 = 3³

Highest common power of m = m

Highest common power of n = m²

Hence GCF(54mn⁴,27m³n²)

= 3³ * m * n² = 27mn².

27, m, n² and 9 are factors of the GCF 27mn². Only 18 is not a factor.