Question

Срочно Докажите тождество: 1.(a2)4*(a3)5:(a3)7=a2 2.(x3)6*(x2)5=x28 Картинка: Даю 20 баллов

Answer 1

$1)(a^{2})^{4}*(a^{3})^{5}:(a^{3})^{7}=a^{8}*a^{15} :a^{21}=a^{8+15-21}=a^{2}\\\\a^{2}=a^{2}\\\\2)(x^{3})^{6}*(x^{2})^{5}=x^{18}*x^{10}=x^{18+10}=x^{28}\\\\x^{28}=x^{28}$

Answer 2

1.

(а²)⁴ * (а³)⁵ : (а³)⁷ = а²,

а²°⁴ * а³°⁵ : а³°⁷ = а²,

а⁸ * а¹⁵ : а²¹ = а²,

а⁸⁺¹⁵⁻²¹ = а²,

а² = а²,

2.

(х³)⁶ * (х²)⁵ = х²⁸,

х³°⁶ * х²°⁵ = х²⁸,

х¹⁸ * х¹⁰ = х²⁸,

х¹⁸⁺¹⁰ = х²⁸,

х²⁸ = х²⁸