Вправи 401 - 467 » 402

402. Спростіть вираз: 1) 〖27a〗^(-7)/c^5 • (〖9a〗^(-10)/c^3 )–1 = 〖27a〗^(-7)/c^5 • c^3/〖9a〗^(-10) = 3a3c–2; 2) (a^3/(〖2c〗^4 b^(-8) ))4 : (a^(-6)/〖0,5c〗^(-15) )–2 = a^12/(〖16c〗^16 b^(-32) ) : a^12/((1/2 )^(-2) c^30 ) = a^12/(〖16c〗^16 b^(-32) ) • 〖4c〗^30/a^12 = 0,25b32c14; 3) (a^7/(〖2m〗^(-1) n^(-2) ))–6 : (〖0,5n〗^5/(m^(-3) p))–2 = a^(-42)/(2^(-6) m^6 n^12 ) : ((1/2 )^2 n^(-10))/(m^6 p^(-2) ) = 〖64a〗^(-42)/(m^6 n^12 ) • (m^6 p^(-2))/〖4n〗^(-10) = 16a–42n–2p–2; 4) (〖4x〗^(-7)/(〖7y〗^(-9) z^2 ))–10 • ((3 1/16 x)/(y^(-1) z))–5 = ((〖7y〗^(-9) z^2)/〖4x〗^(-7) )10 • ((y^(-1) z)/(49/16 x))5 = (7^10 y^(-90) z^20)/(4^10 x^(-70) ) • (y^(-5) z^5)/(((7/4 )^2 )^5 x^5 ) = (7^10 y^(-90) z^20• y^(-5) z^5)/(4^10• x^(-70)• 7^10/4^10 x^5 ) = (y^(-95) z^25)/x^(-65) = x65y–95z25.