Объяснение:
(5а⁷с³)⁴ * (7а⁴с⁵)⁰ / (625а⁵с⁴)² =
5⁴ * (а⁷)⁴ * (с³)⁴ * 1 / 625² * (а⁵)² * (с⁴)² =
625а²⁸с¹²/390625а¹⁰с⁸ = (а¹⁸с⁴)/625
[tex]\frac{(5a^{7} c^{3} )^{4} * (7a^{4}c^{5})^{0}}{(625a^{5}c^{4})^{2}} = 5^{4}* (a^{7})^{4} * (c^{3})^{4} \frac{1}{625^{2}} * (a^{5}) ^{2} * (c^{4}) ^{2} = \frac{625a^{28} c ^{12}}{390625a^{10 c ^{8}}} = \frac{a^{18} c ^{4} }{625}[/tex]
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Объяснение:
(5а⁷с³)⁴ * (7а⁴с⁵)⁰ / (625а⁵с⁴)² =
5⁴ * (а⁷)⁴ * (с³)⁴ * 1 / 625² * (а⁵)² * (с⁴)² =
625а²⁸с¹²/390625а¹⁰с⁸ = (а¹⁸с⁴)/625
[tex]\frac{(5a^{7} c^{3} )^{4} * (7a^{4}c^{5})^{0}}{(625a^{5}c^{4})^{2}} = 5^{4}* (a^{7})^{4} * (c^{3})^{4} \frac{1}{625^{2}} * (a^{5}) ^{2} * (c^{4}) ^{2} = \frac{625a^{28} c ^{12}}{390625a^{10 c ^{8}}} = \frac{a^{18} c ^{4} }{625}[/tex]