Step-by-step explanation:1. i) (3)⁻² = 1/(3)² = 1/9                           iv) (6)² = 36 ii) (-4)⁻²   = 1/(-4)² = 1/16                        v) (3)⁻³ = 1/(3)³ = 1/27 III) (1/2)⁻⁵ = 1 / (1/2)⁵ = (2)⁵ = 64           vi) (1/3)⁻² =  1 / (1/3)² = 3² = 9 2. i)  (-4)⁵ / (-4)⁸ = (-4)⁵⁻⁸= (-4)⁻³ = 1/(-4)³ = 1/(-64) ii)   (1/2³)² = 1/(2³ˣ²) = 1/(2⁶) = 1/64 iii) (-3)⁴ * (5/3)⁴ = 3⁴ * (5⁴ / 3⁴) = 5⁴ = 625 iv) ( 3⁻⁷ / 3⁻¹⁰) * 3⁻⁵  =( 3⁻⁷ ⁻ ⁽⁻¹⁰⁾ ) * 3⁻⁵ = (3⁻⁷⁺¹⁰) * 3⁻⁵                              = 3³ * 3⁻⁵ = 3³⁺⁽⁻⁵⁾                              = 3⁻² = 1/9 v) 2⁻³ * (-7)⁻³ = ( 1/2³) * (1/7³)                    =( 1/8) * (1/343)                    = 1/(8*343)                    = 1/2744 vi) (-2)² * (-2)⁵ = (-2)²⁺⁵ = (-2)⁷ = -128 VII) (1/3²)³ = 1/(3⁶) = 729 viii) (-2)² * (2/3)³ = (-1 * 2)² * (2/3)³                            = (-1)² * 2³ * (2³/3³)                            = (2²⁺³)/3³                            = 2⁵ / 3³                           = 32/27HOPE IT HELPS MARK AS BRAINLIEST THANK MY ANSWERS