3^5\6 × 12^7\12 ------------------------ = 6^2\3 × 2^1\4 ^ artinya pangkat ya....
Matematika
yuliawulandari3
Pertanyaan
3^5\6 × 12^7\12
------------------------ =
6^2\3 × 2^1\4
^ artinya pangkat ya....
------------------------ =
6^2\3 × 2^1\4
^ artinya pangkat ya....
1 Jawaban
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1. Jawaban arsetpopeye
[3^(5/6) x 12^(7/12)] / [6^(2/3) x 2^(1/4)]
= [3^(5/6) x {3 x 2^2}^(7/12)] / [{2 x 3}^(2/3) x 2^(1/4)]
= [3^(5/6) x 3^(7/12) x 2^(14/12)] / [2^(2/3) x 3^(2/3) x 2^(1/4)]
= 3^(5/6 + 7/12 - 2/3) x 2^(14/12 - 2/3 - 1/4)
= 3^(10/12 + 7/12 - 8/12) x 2^(14/12 - 8/12 - 3/12)
= 3^(9/12) x 2^(3/12)
= 3^(3/4) x 2^(1/4)