Предмет: Математика, автор: Аноним

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Автор ответа: iramazurk

Пошаговое объяснение:

№1

100⁸/(2¹⁵ * 5¹⁴) = (4 * 25)⁸ / (2¹⁵ * 5¹⁴) =

(2² * 5²)⁸ / (2¹⁵ * 5¹⁴) = ( (2²)⁸ * (5²)⁸ ) / (2¹⁵ * 5¹⁴) =

(2¹⁶ * 5¹⁶)/(2¹⁵ * 5¹⁴) = 2¹ * 5² = 2 * 25 = 50

№6

45⁶/75³ = (5 * 9)⁶/(5² * 3)³ = (5 * (3²))⁶ / (5² * 3)³ =

(5⁶ * 3¹²)/(5⁶ * 3³) = 1 * 3⁹ = 3⁹ = 19683

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