Solve 5*{left(2/3right)}^6

$$5 \times { \left( \frac{ 2 }{ 3 } \right) }^{ 6 }$$

Evaluate

$$\frac{320}{729}\approx 0.438957476$$

Solution Steps

Calculate \frac{2}{3} to the power of 6 and get \frac{64}{729}.

$$5\times \frac{64}{729}$$

Express 5\times \frac{64}{729} as a single fraction.

$$\frac{5\times 64}{729}$$

Multiply 5 and 64 to get 320.

$$\frac{320}{729}$$

Factor

$$\frac{2 ^ {6} \cdot 5}{3 ^ {6}} = 0.438957475994513$$