Question

Simplify : (81/16)^-1/4 = a/b

Answer 1

a/b = 2/3

Explanation:

(81/16)^(-1/4) = (16/81)^1/4 = ((2^4)/(3^4))^(1/4) = (2^(4/4))/(3^(4/4)) = 2/3

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The applicable rules of exponents are ...

(a^b)^c = a^(bc)

a^-b = 1/(a^b)

And the reciprocal of a fraction is ...

1/(a/b) = b/a