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Utilizand regula de impartire a puterilor cu acelasi exponent, scrieti sub forma unei singure puteri numerele:
a) 12²⁴:3²⁴
b) 125⁴⁵:5⁴⁵
c) 18¹⁷:9¹⁷
d) 9³⁶:3³⁶
e) 9²¹:3²¹
f) 125⁸:5⁸

va rog repede


Răspuns :

Răspuns:

a) 12²⁴:3²⁴=(2²)²⁴·3²⁴:3²⁴=2²ˣ²⁴·1=2⁴⁸

b) 125⁴⁵:5⁴⁵=(5³)⁴⁵:5⁴⁵=5³ˣ⁴⁵:5⁴⁵=5¹³⁵⁻⁴⁵=5⁹⁰

c) 18¹⁷:9¹⁷=2¹⁷·9¹⁷:9¹⁷=2¹⁷

d) 9³⁶:3³⁶=(3²)³⁶:3³⁶=3⁷²:3³⁶=3⁷²⁻³⁶=3³⁶

e) 9²¹:3²¹=(3²)²¹:3²¹=3⁴²⁻²¹=3²¹

f) 125⁸:5⁸=(5³)⁸:5⁸=5²⁴⁻⁸=5¹⁶