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SuslikDariya
@SuslikDariya
August 2022
1
3
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2^3*2^5
(7^4)3
4^9:4^3
a^2*b^5*c^3*a^9*c^2
(a^6*b^7*c^7 : (b^6*a^3*c^8)
9^3*3^7 : 27^2
4^7 : 4^6
8^6*27*2^3*3^2
7^8*49^3 : 7^12
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m11m
1) 2³ * 2⁵ = 2³⁺⁵ = 2⁸
2)(7⁴)³ = 7¹²
3) 4⁹ : 4³ = 4⁹⁻³ = 4⁶
4) a² b⁵ c³ a⁹ c² = a²⁺⁹ b⁵ c³⁺² = a¹¹ b⁵ c⁵
5) (a⁶ b⁷ c⁷) : (b⁶ a³ c⁸) = a⁶⁻³ b⁷⁻⁶ c⁷⁻⁸ = a³ b c⁻¹ =
a³ b
c
6) 9³ * 3⁷ : 27² = 9³ * 3⁷ : (9*3)² = 9³ * 3⁷ : (9² * 3²) = 9³⁻² * 3⁷⁻² =
=9 * 3⁵ = 3² * 3⁵ = 3²⁺⁵ = 3⁷
7) 4⁷ : 4⁶ = 4⁷⁻⁶ = 4
8) 8⁶ * 27 * 2³ * 3² = (2³)⁶ * 3³ * 2³ * 3² = 2¹⁸⁺³ * 3³⁺² = 2²¹ * 3⁵
9) 7⁸ * 49³ : 7¹² = 7⁸ * (7²)³ : 7¹² = 7⁸⁺⁶⁻¹² = 7² =49
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Answers & Comments
2)(7⁴)³ = 7¹²
3) 4⁹ : 4³ = 4⁹⁻³ = 4⁶
4) a² b⁵ c³ a⁹ c² = a²⁺⁹ b⁵ c³⁺² = a¹¹ b⁵ c⁵
5) (a⁶ b⁷ c⁷) : (b⁶ a³ c⁸) = a⁶⁻³ b⁷⁻⁶ c⁷⁻⁸ = a³ b c⁻¹ = a³ b
c
6) 9³ * 3⁷ : 27² = 9³ * 3⁷ : (9*3)² = 9³ * 3⁷ : (9² * 3²) = 9³⁻² * 3⁷⁻² =
=9 * 3⁵ = 3² * 3⁵ = 3²⁺⁵ = 3⁷
7) 4⁷ : 4⁶ = 4⁷⁻⁶ = 4
8) 8⁶ * 27 * 2³ * 3² = (2³)⁶ * 3³ * 2³ * 3² = 2¹⁸⁺³ * 3³⁺² = 2²¹ * 3⁵
9) 7⁸ * 49³ : 7¹² = 7⁸ * (7²)³ : 7¹² = 7⁸⁺⁶⁻¹² = 7² =49