Question

Решить:(5^1/2×5^1/3 /6√5 )³

Answer 1

5:216, В числители 5 в степени 0,5 сократиться с корнем из пяти в знаменателе, останется  в степени одна третья деленное на 6, возводим в куб, в числителе останется 5, а в знаменателе 6 в 3 степени. Итого пять двестишестнадцатых

Answer 2

To solve the expression (5^(1/2) × 5^(1/3) + 6√5)^3, we need to simplify the components inside the parentheses first.

Let's start by simplifying the exponents separately: - 5^(1/2) is the square root of 5, which is approximately 2.236. - 5^(1/3) is the cube root of 5, which is approximately 1.71.

Now let's simplify the expression inside the parentheses: - 5^(1/2) × 5^(1/3) = 2.236 × 1.71 ≈ 3.825. - 6√5 means the sixth root of 5, which is approximately 1.369.

Now we have: (3.825 + 1.369)^3.

Next, we can simplify the addition inside the parentheses: - 3.825 + 1.369 = 5.194.

Now we have: (5.194)^3.

To solve the expression raised to the power of 3, we simply multiply the number by itself three times: - (5.194)^3 = 5.194 × 5.194 × 5.194 ≈ 138.583.

Therefore, the solution to the expression (5^(1/2) × 5^(1/3) + 6√5)^3 is approximately 138.583.