Question

(-9)³/(-9)⁸ is equal to

1)(9)⁵
2)(9)-⁵
3)(-9)⁵
4)(-9)-⁵

Answer 1

Answer:

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

Answer 2

$\huge{\bigstar{\underline{\underline{\mathfrak{\blue{Solution:}}}}}}$

$\bf{\red{\large{\frac{{( -9) }^{3} }{ { -9 }^{8} }}}}$

$\bf{\red{\large{ {( - 9)}^{3 - 8}}}}$

$\bf{\red{\large{ { ( - 9)}^{ - 5}}}}$