Jawab:
1) [ (1 .2.4 + 2.4. 8 + ... + n. 2n. 4n ) / (1.3.9 + 2. 6. 18 + ... + n. 3n. 9n ) ]^(1/3)
= {(n 2n , 4n)/(n. 3n. 9n) }^(1/3)
= (8n³/27n³) ^(1/3)
= (8/27) ^1/3
= ((2/3)³)^¹/³
= (2/3)
2)
a = 37¹⁵⁰ = (37³)⁵⁰= (50.653)⁵⁰
b = 215¹⁰⁰ = (215²)⁵⁰ = (46.225)⁵⁰
karena 50.653 > 46.225
maka a > b
Jawaban:
nomor 1. 2/3 dan jawaban nomor 2 a>b
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Jawab:
1) [ (1 .2.4 + 2.4. 8 + ... + n. 2n. 4n ) / (1.3.9 + 2. 6. 18 + ... + n. 3n. 9n ) ]^(1/3)
= {(n 2n , 4n)/(n. 3n. 9n) }^(1/3)
= (8n³/27n³) ^(1/3)
= (8/27) ^1/3
= ((2/3)³)^¹/³
= (2/3)
2)
a = 37¹⁵⁰ = (37³)⁵⁰= (50.653)⁵⁰
b = 215¹⁰⁰ = (215²)⁵⁰ = (46.225)⁵⁰
karena 50.653 > 46.225
maka a > b
Jawaban:
nomor 1. 2/3 dan jawaban nomor 2 a>b