Answer:
The equivalent ratio of (3m⁻²n)⁻³/6mn⁻² = m⁵/2n
Explanation:
Points to remember
Identities
xᵃ * xᵇ = x⁽ᵃ ⁺ ᵇ⁾
xᵃ/xᵇ = x⁽ᵃ ⁻ ᵇ⁾
(xᵃ)ᵇ = xᵃᵇ
x⁻ᵃ = 1/xᵃ
To find the equivalent ratio of (3m⁻²n)⁻³/6mn⁻²
By using identities,
(3m⁻²n)⁻³ = 3m⁶n⁻³
(3m⁻²n)⁻³/6mn⁻² = 3m⁶n⁻³/6mn⁻²
= 3m⁽⁶⁻¹⁾n⁽⁻³ ⁻ ⁻²⁾/6
= m⁵n⁻¹/2
= m⁵/2n
Therefore the equivalent ratio of (3m⁻²n)⁻³/6mn⁻² = m⁵/2n