Răspuns:
Explicație pas cu pas:
a) Produsul fractiilor (144/49)⁶ si (7/9)¹²
(144/49)⁶ x ( 7/9)¹² = (4/3)¹²
= (12²/7²)⁶ x ( 7/3²)¹² =
=[ ( 3x4)²ˣ⁶ / 7²ˣ⁶] x (7¹²/3²ˣ¹²) =
= ( 3¹²x4¹²/7¹²) / (7¹²/3²⁴) =
= (3¹²/3²⁴) x (7¹²/7¹²) x 4¹² =
= (1/3¹²) x 1 x 4¹² =
= (4/3)¹²
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b) Catul fractiilor (4/5)⁸ si (8/25)⁴
(4/5)⁸ : (8/25)⁴ =
= (2²/5)⁸ x ( 5²/2³)⁴ =
= ( 2¹⁶/5⁸) x (5⁸/2¹²) =
= (2¹⁶/2¹²) x ( 5⁸/5⁸) =
= 2¹⁶⁻¹² x 5⁸⁻⁸=
= 2⁴ x 5⁰=
= 2⁴ x 1 =
= 2⁴
= 16
