Вправи 401 - 467 » 401 (4-6)

4) (〖2x〗^(-2)/(〖5y〗^6 z^11 ))–2 : (〖0,2x〗^(-2)/(y^(-5) z^0 ))–3 = ((〖5y〗^6 z^11)/〖2x〗^(-2) )2 : ((y^(-5) •1)/(1/5 x^(-2) ))3 = (〖25y〗^12 z^22)/〖4x〗^(-4) : (y^(-15) •1)/((1/5 )^3 • x^(-6) ) = (〖25y〗^12 z^22)/〖4x〗^(-4) : 〖125y〗^(-15)/x^(-6) = (〖25y〗^12 z^22)/〖4x〗^(-4) • x^(-6)/〖125y〗^(-15) = (y^12 z^22 x^(-6))/(〖20x〗^(-4) y^(-15) ) = 0,05x–2y27z22; 5) (x^(-15)/〖6y〗^6 )–2 : (x^(-20)/〖3y〗^9 )–2 = (〖6y〗^6/x^(-15) )2 : (〖3y〗^9/x^(-20) )2 = 〖36y〗^12/x^(-30) : 〖9y〗^18/x^(-40) = 〖36y〗^12/x^(-30) • x^(-40)/〖9y〗^18 = 4x–10y–6; 6) ((1 2/3 a^(-2))/b^6 )–1 : (〖0,6a〗^(-8)/b^(-3) )2 = b^6/(5/3 a^(-2) ) : ((3/5 a^(-8))/b^(-3) )2 = 〖3b〗^6/〖5a〗^(-2) : (9/25 a^(-16))/b^(-6) = 〖3b〗^6/〖5a〗^(-2) : 〖9a〗^(-16)/〖25b〗^(-6) = 〖3b〗^6/〖5a〗^(-2) • 〖25b〗^(-6)/〖9a〗^(-16) = 〖5b〗^0/〖3a〗^(-18) = 5/3a18 = 12/3a18.