5. Вычислите: [7⁶ · (7⁴)⁶] / [(7³)⁷ · 7⁶].

Question

\((7^4)^6=7^{24}\), \((7^3)^7=7^{21}\).

\(\dfrac{7^6\cdot7^{24}}{7^{21}\cdot7^6}=7^{6+24-21-6}=7^3=343\).

Ответ: 343.

Accepted Answer

\((7^4)^6=7^{24}\), \((7^3)^7=7^{21}\).

\(\dfrac{7^6\cdot7^{24}}{7^{21}\cdot7^6}=7^{6+24-21-6}=7^3=343\).

Ответ: 343.