Question

Przedstaw iloczyn w postaci potęgi o tej samej podstawie i oblicz.
a) 16 razy 4 do -1
b) 1/36 razy 6 do 0 razy ( 1/6 ) do -1
c) 3 do -3 razy 3 do 4 razy ( 1/3 ) do -2
d) (0,2) do -1 razy ( 1/5 ) do -2 razy 5 do 2

Answer 1

16*4⁻¹ = 4² * 4⁻¹ = 4¹ = 4

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

3⁻³ * 3⁴ * (1/3)⁻² = 3¹ * 3² = 3³ = 27

(0,2)⁻¹ * (1/5)⁻² * 5² = (1/5)⁻¹ * (1/5)⁻² * 5² = 5 * 5² * 5² = 5⁵ = 3125