Rozwiązane

9. Oblicz
e) 81⁴/27⁵
f) 25² x 4⁷/2⁹ x 5⁴
g) 2¹⁰ x 3¹⁰/6⁸
h) 5⁸ x 2⁹/10⁷



Odpowiedź :

e) 81⁴/27⁵ = (3⁴)⁴ / (3³)⁵ = 3¹⁶ - 3¹⁵ = 3
f) 25² x 4⁷/2⁹ x 5⁴ = (5²)² * (2²)⁷ / 2⁹ * 5⁴ = 5⁴ * 2¹⁴ / 2⁹ * 5⁴ = 2⁵ = 32
g) 2¹⁰ x 3¹⁰/6⁸ = (2 * 3)¹⁰ / 6⁸ = 6¹⁰ / 6⁸ = 6² =36
h) 5⁸ x 2⁹/10⁷ = (5 * 2)⁸ * 2 / 10⁷ = 10⁸ * 2 / 10⁷ = 20⁸ / 10⁷ = (20 / 10)⁷ * 20 = 2⁷ * 20 = 128 * 20 = 2560
Janolek18
e) 81⁴/27⁵ = (3⁴)⁴ / (3³)⁵ = 3¹⁶ - 3¹⁵ = 3

f) 25² x 4⁷/2⁹ x 5⁴ = (5²)² * (2²)⁷ / 2⁹ * 5⁴ = 5⁴ * 2¹⁴ / 2⁹ * 5⁴ = 2⁵
g) 2¹⁰ x 3¹⁰/6⁸ = (2 * 3)¹⁰ / 6⁸ = 6¹⁰ / 6⁸ = 6²
h) 5⁸ x 2⁹/10⁷ = (5 * 2)⁸ * 2 / 10⁷ = 10⁸ * 2 / 10⁷ = 20⁸ / 10⁷ = (20 / 10)⁷ * 20 = 2⁷ * 20 = 128 * 20

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