г) 6^3 * 216^2 / 36^4 =

Question

Решение:

г) \( \frac{6^3 \cdot 216^2}{36^4} = \frac{6^3 \cdot (6^3)^2}{(6^2)^4} = \frac{6^3 \cdot 6^6}{6^8} = \frac{6^{3+6}}{6^8} = \frac{6^9}{6^8} = 6^{9-8} = 6^1 = 6 \)

Ответ: 6

Accepted Answer

Решение:

г) \( \frac{6^3 \cdot 216^2}{36^4} = \frac{6^3 \cdot (6^3)^2}{(6^2)^4} = \frac{6^3 \cdot 6^6}{6^8} = \frac{6^{3+6}}{6^8} = \frac{6^9}{6^8} = 6^{9-8} = 6^1 = 6 \)

Ответ: 6