Explicación paso a paso:
A^a/B^b = ctte
4^a/1 = 12^a/3^b
3^b = 3^a
a = b = 2
Resolvemos.
2²/B1² = 4²/1
4/B1² = 16/1
B1² =1/4
B1 = 1/2
B1 = 0,5
10²/B2² = 12²/3²
100/B2² = 144/9
100/B2² = 16
B2² = 25/4
B2 = 5/2
B2 = 2,5
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Explicación paso a paso:
A^a/B^b = ctte
4^a/1 = 12^a/3^b
3^b = 3^a
a = b = 2
Resolvemos.
2²/B1² = 4²/1
4/B1² = 16/1
B1² =1/4
B1 = 1/2
B1 = 0,5
10²/B2² = 12²/3²
100/B2² = 144/9
100/B2² = 16
B2² = 25/4
B2 = 5/2
B2 = 2,5