Question

Proszę O POMOC! Przedstaw iloczyn w postaci potęgi o tej samej podstawie i oblicz. a) 16 * 4⁻¹ b) 1/36 * 6⁰ * (⅙)⁻¹ c) 3⁻³ * 3⁴ * (⅓)⁻² d)(0,2)⁻¹ * (⅕)⁻² * 5²

Answer 1

a) 16 * 4⁻¹ = 4² * 4⁻¹ = 4¹ = 4

b) 1/36 * 6⁰ * (⅙)⁻¹ = (⅙)² * 1 * 6 =  1/6

c) 3⁻³ * 3⁴ * (⅓)⁻² = 3⁻³ * 3⁴ * (3⁻¹)⁻² = 3⁻³ * 3⁴ * 3² = 3³ = 27

d)(0,2)⁻¹ * (⅕)⁻² * 5² = (⅕)⁻¹ * (⅕)⁻² * [(⅕)⁻¹]² = (⅕)⁻¹ * (⅕)⁻² * (⅕)⁻² = (⅕)⁻⁵ = 3125