5. Найдите значение выражения: 5.1) (√(25a⁸)·√(9b⁵))/√(a⁴b⁵) при a = 7, b = 10; 5.2) (√(25a⁵)·√(36b⁶))/√(a⁵b⁴) при a = 4, b = 9; 5.3) (√(4a¹¹)·√(9b⁴))/√(a⁷b⁴) при a = 7, b = 9; 5.4) (√(25a⁹)·√(16b⁸))/√(a⁵b⁸) при a = 4, b = 7; 5.5) (√(4a⁶)·√(25b⁷))/√(a²b⁷) при a = 9, b = 7.

Question

Вопрос:

Accepted Answer

\(\dfrac{\sqrt{25a^8}\sqrt{9b^5}}{\sqrt{a^4b^5}}=15a^2=15\cdot7^2=735\).
\(\dfrac{\sqrt{25a^5}\sqrt{36b^6}}{\sqrt{a^5b^4}}=30b=30\cdot9=270\).
\(\dfrac{\sqrt{4a^{11}}\sqrt{9b^4}}{\sqrt{a^7b^4}}=6a^2=6\cdot7^2=294\).
\(\dfrac{\sqrt{25a^9}\sqrt{16b^8}}{\sqrt{a^5b^8}}=20a^2=20\cdot4^2=320\).
\(\dfrac{\sqrt{4a^6}\sqrt{25b^7}}{\sqrt{a^2b^7}}=10a^2=10\cdot9^2=810\).

Ответ: 5.1) 735; 5.2) 270; 5.3) 294; 5.4) 320; 5.5) 810.