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Odpowiedź:
a) 64³ / (8²)² = (8²)³ / (8²)² = 8²ˣ³ /8²ˣ² = 8⁶ / 8⁴ = 8⁶⁻⁴ = 8²
b) (2¹² * 5¹²) / 10¹² = 10¹² / 10¹² = 10¹²⁻¹² = 10⁰ = 1
c) (100³ : 25³) / 4³ = 4³ / 4³ = 4³⁻³ = 4⁰ = 1
d) (21⁸ * 5⁵) / (15⁵ * 7⁸) = ((3 * 7)⁸ * 5⁵) / ((3 * 5)⁵ * 7⁸) =
= (3⁸ * 7⁸ * 5⁵) / (3⁵ * 5⁵ * 7⁸) = 3⁸ / 3⁵ = 3⁸⁻⁵ = 3³
e) (25⁵ * 8⁴) /( 2¹⁰ * 5⁸ ) = ((5 * 5)⁵ * (2³)⁴ / (2¹⁰ * 5⁸) =
= (5⁵ * 5⁵ * 2¹²) / (2¹⁰ * 5⁸) = (5⁵ * 2²) / 5³ = 5² * 2² = 10²
Szczegółowe wyjaśnienie: