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Alice098
@Alice098
July 2022
1
3
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27^5 - 27^4
----------------------- =
9^8 + 9^7 + 9^6
(Все, что после этого ^ знака - это степени
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zhenyaM2002
Verified answer
(27⁵ - 27⁴ ) / (9⁸+9⁷+9⁶) =
= ( (3³)⁵ - (3³)⁴ ) / ( (3²)⁸ + (3²)⁷ +(3²)⁶ ) =
= (3¹⁵ - 3 ¹² ) / ( 3¹⁶ +3¹⁴ +3¹²) =
= [ 3¹² (3³ -1) ] / [3¹² (3⁴ +3² +1) ] =
= (3³ -1) / (3⁴+3² +1) =
= (27-1) / ( 81 +9+1) =
= 26/91 = 2/7
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Answers & Comments
Verified answer
(27⁵ - 27⁴ ) / (9⁸+9⁷+9⁶) == ( (3³)⁵ - (3³)⁴ ) / ( (3²)⁸ + (3²)⁷ +(3²)⁶ ) =
= (3¹⁵ - 3 ¹² ) / ( 3¹⁶ +3¹⁴ +3¹²) =
= [ 3¹² (3³ -1) ] / [3¹² (3⁴ +3² +1) ] =
= (3³ -1) / (3⁴+3² +1) =
= (27-1) / ( 81 +9+1) =
= 26/91 = 2/7