Question

Przedstaw iloczyn w postaci potęgi i oblicz.

a) 4² · 4⁻⁴· 4⁻¹ · 4⁰

b) 2⁻⁴· 2 ·2³·2⁻¹ · 2⁻²

c) (½)⁻² · (½)³ ·(½)⁻⁴ · (½)³

d) (-0,1)⁻¹ · (-0,1)² · (-0,1)⁻⁵ · (-0,1)²

Answer 1

Przedstaw iloczyn w postaci potęgi i oblicz.

a) 4² · 4⁻⁴· 4⁻¹ · 4⁰=4⁻³=1/64

b) 2⁻⁴· 2 ·2³·2⁻¹ · 2⁻²=2⁻³=1/8

c) (½)⁻² · (½)³ ·(½)⁻⁴ · (½)³=(½)⁰=1

d) (-0,1)⁻¹ · (-0,1)² · (-0,1)⁻⁵ · (-0,1)²=(-0,1)⁻²=10²=100

Answer 2

a) 4² · 4⁻⁴· 4⁻¹ · 4⁰ = 4 ²⁻⁴⁻¹⁺⁰= 4⁻³ = (¼)³ = 1/64

 

b) 2⁻⁴· 2 ·2³·2⁻¹ · 2⁻² = 2⁻⁴⁺¹⁺³⁻¹⁻² = 2⁻³ = (½)³ = 1/8

 

c) (½)⁻² · (½)³ ·(½)⁻⁴ · (½)³ = (½)⁻²⁺³⁻⁴⁺³ = (½)⁰ = 1

 

d) (-0,1)⁻¹ · (-0,1)² · (-0,1)⁻⁵ · (-0,1)² = (-0,1)⁻¹⁺²⁻⁵⁺² = (-0,1)⁻² = (1/10)⁻² = 10² =100