5⁰× 8³ × 4-²
pls solve this fast
Answers
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
= 32/27
Answer:
1 × 512 × 1/16
= 32
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