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Without using a calculator, simplify:

[(3^n - 4)/(6^n - 2^(n + 2))]^(1/n)
in Mathematics by Diamond (39,246 points) | 12 views

1 Answer

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[(3^n - 4)/(6^n - 2^(n + 2))]^(1/n)

= [(3^n - 4)/(2^n . 3^n - 2^n . 2^2))]^(1/n)

= [(3^n - 4)/(2^n (3^n - 4))]^(1/n)

= (1/2^n)^(1/n)

= 1/2
by Diamond (39,246 points)

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