Question

Find the value of m in (2/3)^-2=(3/2)^4*(2/3)^m

Answer 1

Answer:

hope it will be helpful u

Answer 2

Answer :

2

Step-by-step explanation :

(2/3)⁻² = (3/2)⁴ × (2/3)ᵐ

Identity : (a/c)ᵇ = (c/a)⁻ᵇ

→ (2/3)⁻² = (2/3)⁻⁴ × (2/3)ᵐ

Identity : (a)ᵇ × (a)ᶜ = (a)ᵇ⁺ᶜ

→ (2/3)⁻² = (2/3)⁻⁴⁺ᵐ

On comparing both sides, we get

→ - 2 = - 4 + m

→ m = - 2 + 4

→ m = 2