Question

O valor da operação (- 3/5)³ . ( -2/3)-² é

Answer 1

Explicação passo-a-passo:

$\sf \left(-\dfrac{3}{5}\right)^3\cdot\left(-\dfrac{2}{3}\right)^{-2}$

$\sf \left(-\dfrac{27}{125}\right)\cdot\left(-\dfrac{3}{2}\right)^2$

$\sf \left(-\dfrac{27}{125}\right)\cdot\dfrac{9}{4}$

$\sf =\dfrac{-27\cdot9}{125\cdot4}$

$\sf =\red{\dfrac{-243}{500}}$

Answer 2

$\sf \left(-\dfrac{3}{5}\right)^3 \cdot \left(-\dfrac{2}{3}\right)^{-2}$

$\sf -\dfrac{3^3}{5^3}\cdot \left(-\dfrac{3}{2}\right)^2$

$\sf -\dfrac{27}{125}\cdot \dfrac{3^2}{2^2}$

$\sf -\dfrac{27}{125}\cdot \dfrac{9}{4}$

$\sf -\dfrac{27\cdot9}{125\cdot4}$

$\boxed{\sf -\dfrac{243}{500}}$

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