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Algebra Level 2

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( 6 998 ÷ 6 999 + 6 ) ( 6^{998} ÷ 6^{999} + 6 )

6 37 6 \frac{37}{6} 1 7 6 \frac{7}{6}

Abdulrhman Hassien by Abdulrhman Hassien , 30, Egypt

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1 solution

6 998 ÷ 6 999 = 6 − 1 = 1 6 , ( 998 − 999 = − 1 ) , T h e n 1 6 + 6 1 = 6 × 6 + 1 × 1 6 × 1 = 37 6 6^{998} ÷ 6^{999} = 6^{-1} = \frac{1}{6} , ( 998 - 999 = -1 ) , Then \frac{1}{6} + \frac{6}{1} = \frac{6 \times 6 + 1 \times 1}{6 \times 1} = \boxed{ \frac{37}{6}}

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