Вправи 101 - 200 » 148

148. Спростіть вираз: 1) (3a^4 b^3)/(10c^5 ) • (4b^4 c^2)/(27a^7 ) : (5b^7)/(9a^3 c^3 ) = (3a^4 b^3 • 4b^4 c^2 • 9a^3 c^3)/(10c^5 • 27a^7 • 5b^7 ) = (2a^7 b^7 c^5)/(25a^7 b^7 c^5 ) = 2/25; 2) (3a^2)/(3b^2 c^2 ) : (7c^8)/(6b^3 ) : 9ab/(14c^12 ) = (3a^2 • 6b^3 • 14c^12)/(2b^2 c^2 • 7c^8 • 9ab) = (2a^2 b^3 c^12)/(b^3 c^10 a) = (2ac^2)/1 = 2ac2; 3) ((5a^3)/b^4 )4 • b^18/(50a^16 ) = (625a^12 b^18)/(b^16 • 50a^16 ) = (25b^2)/(2a^4 ); 4) ((3x^7)/y^10 )4 : ((3x^6)/y^8 )3 = (3^4 x^28 • y^24)/(y^40 • 3^3 • x^18 ) = (3x^10)/y^16 .