Question

Спростіть вираз (-1/3а^3b^2)^3 *(3a^5b)^2=

Answer 1

Формулы:

(a^m)^n = a^(m * n)

a^m * a^n = a^(m + n)

(ab)^m = a^m * b^m

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( (-1/3)a³b² )³ * (3a⁵b)² =

= (-1/3)³(a³)³(b²)³ * 3²(a⁵)²b² =

= (-1/27)a⁹b⁶ * 9a¹⁰b² =

= (-1/3)a⁹⁺¹⁰b⁶⁺² = (-1/3)a¹⁹b⁸

Ответ: (-1/3)a¹⁹b⁸.