Question

Zapisz iloczyny potęg w postaci potęgi iloczynu. (matematyka z plusem zad. 2 str.14 kl.2 gimnazjum zbiór zadań ) a.4 do 3 * 5 do 3, (0.5) do 2 * (0.2 ) do 2 , ( 1/3) do 4 * 3 do 4, (-1i1/2) do 2 * (-2/3) do 2 b. x do 3 * y do 3 , (-0.3) do 2 * a do 2 * b do 2, (-1.2) do 4 *c do 4 * x do 4, (-1i1/3) do 2 * 0.75 do 2 * x do 2

Answer 1

a).

4³·5³ = (4·5)³ = 20³

(0,5)²·(0,2)² = (0,5·0,2)² = (0,1)²

(1/3)⁴·3⁴ = (1/3·3)⁴ = 1⁴

(-1 1/2)²·(-2/3)² = [(-1 1/2)·(-2/3)]² = [(-3/2)·(-2/3)]² = (6/6)² = 1²

b).

x³·y³ = (x·y)³

(-0,3)²·a²·b² = (-0,3ab)²

(-1,2)⁴·c⁴·x⁴ = (-1,2cx)⁴

(-1 1/3)²·0,75²·x² = [(-4/3)·3/4·x]² = (-x)²