Question

Determine a seguinte potência: {[(-1/3)¹]²}³

Answer 1

Explicação passo-a-passo:

Conserva a base e multiplica os expoentes

$\sf \Big\{\Big[\Big(-\dfrac{1}{3}\Big)^1\Big]^2\Big\}^3=\Big(-\dfrac{1}{3}\Big)^{1\cdot2\cdot3}$

$\sf \Big\{\Big[\Big(-\dfrac{1}{3}\Big)^1\Big]^2\Big\}^3=\Big(-\dfrac{1}{3}\Big)^{6}$

$\sf \Big\{\Big[\Big(-\dfrac{1}{3}\Big)^1\Big]^2\Big\}^3=\dfrac{(-1)^6}{3^6}$

$\sf \Big\{\Big[\Big(-\dfrac{1}{3}\Big)^1\Big]^2\Big\}^3=\red{\dfrac{1}{729}}$