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Arithmetic · Arithmetic

Evaluate 5 choose 2 * (1/3)^2 * (2/3)^3

10 \left(1 \cdot \frac{1}{3}\right)^{2} \left(\frac{2}{3}\right)^{3}

Inyathelo ngenyathelo

  1. \frac{10 \left(\frac{2}{3}\right)^{3}}{9} = 10 \cdot \frac{1}{9} \left(\frac{2}{3}\right)^{3}

    Power: (1/3)^2 = 1/9.

  2. 10 \cdot \frac{1}{9} \left(\frac{2}{3}\right)^{3} = 10 \cdot \frac{1}{9} \cdot \frac{8}{27}

    Power: (2/3)^3 = 8/27.

  3. 10 \cdot \frac{1}{9} \cdot \frac{8}{27} = \frac{80}{243}

    Multiply: 10(1/9)·(8/27) = 80/243.

Bonisa impendulo
\frac{80}{243} \approx 0.32922