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AA7777AA
@AA7777AA
October 2021
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Вариант 1 -1,2 задание
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MizoriesKun
16¹/²= (4²)¹/²= 4
8²/³= (2³)²/³=2²=4
2²⁾⁴: 2⁰⁾³ *2³⁾⁹ = 2²⁾⁴⁻ ⁰⁾³ ⁺³⁾⁹
=2⁶=64
16⁻⁰⁾⁷⁵ *8⁵/¹² *4⁵/⁸= (2⁴)⁻⁰⁾⁷⁵ *(2³)⁵/¹² *(2²)⁵/⁸= 2⁻³ ⁺ ⁵/⁴ ⁺ ⁵/⁴= 2⁻³⁺ ¹⁰/⁴= 2⁻¹/² = 1/√2
а⁻⁰⁾⁸*а¹⁾³=а⁻⁰⁾⁸⁺¹⁾³=а⁰⁾⁵=√а
(а⁻⁰⁾⁴)⁸=а⁻³⁾²
а⁷/⁹ :а⁵/⁶= а⁷/⁹ ⁻⁵/⁶=а ¹⁴/¹⁸ ⁻¹⁵/¹⁸= а⁻¹/¹⁸
(a¹/³b⁴/¹⁵)⁶/¹¹=a⁶/³³ b²⁴/¹⁶⁵
x¹/²(x¹/² +3)- (x¹/²+3)²=
(x¹/²)²
+3x¹/² -
(x¹/²)²
-6(x¹/²)- 9= -3(x¹/²) - 9= -(3√x +9)
m²⁾⁵n¹⁾⁵ -m¹⁾⁵n²⁾⁵ m¹⁾⁵n¹⁾⁵*(m-n) m¹⁾⁵n¹⁾⁵*
(m⁰⁾⁵-n⁰⁾⁵)
*(m⁰⁾⁵+n⁰⁾⁵)
-------------------------- = ---------------------- =----------------------------------------- =
m-2m⁰⁾⁵n⁰⁾⁵+n (m⁰⁾⁵-n⁰⁾⁵)²
(m⁰⁾⁵-n⁰⁾⁵)
²
m¹⁾⁵n¹⁾⁵*(m⁰⁾⁵+n⁰⁾⁵)
= ---------------------------
(m⁰⁾⁵-n⁰⁾⁵)
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Answers & Comments
8²/³= (2³)²/³=2²=4
2²⁾⁴: 2⁰⁾³ *2³⁾⁹ = 2²⁾⁴⁻ ⁰⁾³ ⁺³⁾⁹ =2⁶=64
16⁻⁰⁾⁷⁵ *8⁵/¹² *4⁵/⁸= (2⁴)⁻⁰⁾⁷⁵ *(2³)⁵/¹² *(2²)⁵/⁸= 2⁻³ ⁺ ⁵/⁴ ⁺ ⁵/⁴= 2⁻³⁺ ¹⁰/⁴= 2⁻¹/² = 1/√2
а⁻⁰⁾⁸*а¹⁾³=а⁻⁰⁾⁸⁺¹⁾³=а⁰⁾⁵=√а
(а⁻⁰⁾⁴)⁸=а⁻³⁾²
а⁷/⁹ :а⁵/⁶= а⁷/⁹ ⁻⁵/⁶=а ¹⁴/¹⁸ ⁻¹⁵/¹⁸= а⁻¹/¹⁸
(a¹/³b⁴/¹⁵)⁶/¹¹=a⁶/³³ b²⁴/¹⁶⁵
x¹/²(x¹/² +3)- (x¹/²+3)²=(x¹/²)²+3x¹/² - (x¹/²)²-6(x¹/²)- 9= -3(x¹/²) - 9= -(3√x +9)
m²⁾⁵n¹⁾⁵ -m¹⁾⁵n²⁾⁵ m¹⁾⁵n¹⁾⁵*(m-n) m¹⁾⁵n¹⁾⁵*(m⁰⁾⁵-n⁰⁾⁵)*(m⁰⁾⁵+n⁰⁾⁵)
-------------------------- = ---------------------- =----------------------------------------- =
m-2m⁰⁾⁵n⁰⁾⁵+n (m⁰⁾⁵-n⁰⁾⁵)² (m⁰⁾⁵-n⁰⁾⁵)²
m¹⁾⁵n¹⁾⁵*(m⁰⁾⁵+n⁰⁾⁵)
= ---------------------------
(m⁰⁾⁵-n⁰⁾⁵)