Вправи 201 - 300 » 205

205. Спростіть вираз: 1) ((〖2x〗^2 y^3)/(a^3 b^5 ))2 • ((〖3a〗^2 b)/〖4ay〗^2 )3 • 〖16b〗^2/9x = (〖4x〗^4 y^6)/(a^6 b^10 ) • (〖27a〗^6 b^3)/(〖64x〗^3 y^6 ) • 〖16b〗^2/9x = (〖4x〗^4 y^6 • 〖27a〗^6 b^3 • 〖16b〗^2)/(a^6 b^10 • 〖64x〗^3 y^6 •9x) = (〖12b〗^5 x^4)/(〖4b〗^10 x^4 ) = 3/b^5 . 2) ((5abc/3xyz)3 • 〖9xyz〗^2/〖25ac〗^2 )2 = ((〖125a〗^3 b^3 c^3)/(〖27x〗^3 y^3 z^3 ) • 〖9xyz〗^2/〖25ac〗^2 )2 = ((〖125a〗^3 b^3 c^3• 〖9xyz〗^2)/(〖27x〗^3 y^3 z^3 • 〖25ac〗^2 ))2 = ((〖5a〗^3 b^3 c^3 xyz^2)/(〖3ac〗^2 x^3 y^3 z^3 ))2 = ((〖5a〗^2 b^3 c)/(〖3x〗^2 y^2 z))2 = (〖25a〗^4 b^6 c^2)/(〖9x〗^4 y^4 z^2 ).