Pomóżcie !! Zapisz w postaci potęgi. (2/3) do potęgi 4 * (3/2) 4 100 do potęgi 6 * (0,1) 9 8 do potęgi 9 * (1/8) 9 2 9 * 3 9 * (1/6) 9 (-4) 5 * (0,2)5 * 1,25 5 30 7 : 5 7 (-10 15 : (-2) 15 100 6 : 10 6 7 3 : (1/2 3 9 5 : (3/4) 5

Pomóżcie !! Zapisz w postaci potęgi. (2/3) do potęgi 4 * (3/2) 4 100 do potęgi 6 * (0,1) 9 8 do potęgi 9 * (1/8) 9 2 9 * 3 9 * (1/6) 9 (-4) 5 * (0,2)5 * 1,25 5 30 7 : 5 7 (-10 15 : (-2) 15 100 6 : 10 6 7 3 : (1/2 3 9 5 : (3/4) 5
Odpowiedź

(2/3)^4 * (3/2)^4 = (2/3 * 3/2)^4 = 1^4  100^6  * (0,1)^9 = 10^12 * 10^-9 = 10^3  8^9 * (1/8)^9 = (8 * 1/8)^9 = 1^9 = 1 2^9 * 3^9 * (1/6)^9 = (2 * 3 * 1/6)^9 = 1^9 = 1 (-4)^5 * (0,2)^5 * (1,25)^5 = (-4 * 0,2 * 1,25)^5 = (-1)^5  30^7 : 5^7 = (30 : 6)^7 = 5^7 (-10)^15 : (-2)^15 = [(-10) : (-2)]^15 = 5^15 100^6 : 10^6 = (100 : 10)^6 = 10^6 7^3 : (1/2)^3 = (7 : 1/2)^3 = (7 * 2)^3 = 14^3 9^5 : (3/4)^^5 = (9 : 3/4)^5 = (9 * 4/3)^5 = 12^5

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