6) (((2/3)²)³) · 3645/32.

Question

\(\left(\left(\frac{2}{3}\right)^2\right)^3=\left(\frac{2}{3}\right)^6=\frac{64}{729}\).

\(\frac{64}{729}\cdot\frac{3645}{32}=\frac{2\cdot3645}{729}=2\cdot5=10\).

Ответ: 10.

Accepted Answer

\(\left(\left(\frac{2}{3}\right)^2\right)^3=\left(\frac{2}{3}\right)^6=\frac{64}{729}\).

\(\frac{64}{729}\cdot\frac{3645}{32}=\frac{2\cdot3645}{729}=2\cdot5=10\).

Ответ: 10.