Răspuns:
Explicație pas cu pas:
a) [(-3)¹·(-3)³]²:3⁵ = [(-3)¹⁺³]²:3⁵ = (-3)⁴ˣ²:3⁵ = (-3)⁸:3⁵ = 3⁸:3⁵ =
= 3⁸⁻⁵ = 3³ = 27
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b) [24⁵:(-8)⁵]²:3⁶ = [(-24:8)⁵]²:3⁶ = [(-3)⁵ˣ²]:3⁶ = 3¹⁰:3⁶ = 3¹⁰⁻⁶ = 3⁴ = 81
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c) [(-2)¹²·(2²)⁵]³:(-2)⁶⁵ = [2¹²·2²ˣ⁵]³:(-2)⁶⁵ = (2¹²⁺¹⁰)³:(-2)⁶⁵ =
= 2²²ˣ³:(-2)⁶⁵ = -2⁶⁶⁻⁶⁵ = -2
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d) [5⁴·(-25)⁴]²:125⁷ = [5⁴·(-5²)⁴]²:(5³)⁷= [5⁴·5²ˣ⁴]²:(5³ˣ⁷) =
= (5⁴⁺⁸)²:5²¹ = 5¹²ˣ²:5²¹ = 5²⁴⁻²¹ = 5³ = 125
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e) [(-2)⁵·5⁵]²:(-10)⁹= (-10⁵)²:(-10)⁹ = (-10)¹⁰:(-10)⁹ = 10¹⁰:(-10)⁹=
= -10¹⁰⁻⁹ = -10
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f) [-9³·3⁵]⁶:(-3)⁶³ = [(-3²)³·3⁵]⁶:(-3)⁶³ = [-3²ˣ³·3⁵]⁶:(-3)⁶³ =
= (-3⁶⁺⁵)⁶:(-3)⁶³ = 3¹¹ˣ⁶:(-3)⁶³ = 3⁶⁶:(-3)⁶³ = -3⁶⁶⁻⁶³ = -3³ = -27
