Question

27⁶ : 9⁸ та
(1 2/3)³*(1/5)³

Answer 1

Решение:

27⁶ : 9 ⁸ = (3³)⁶ : (3²)⁸ = 3¹⁸ : 3¹⁶ = 3¹⁸⁻¹⁶ = 3² = 9

$\Big (1\dfrac{2}{3}\Big )^3 \cdot \Big (\dfrac{1}{5}\Big)^3 = \Big (\dfrac{5}{3}\Big )^3 \cdot \Big (\dfrac{1}{5}\Big)^3 = \dfrac{5^3}{3^3} \cdot \dfrac{1}{5^3} = \dfrac{1}{3^3} = \dfrac{1}{27}$