Question

(x³)⁵×x⁶=(n⁵)⁴÷(n²)³​

Answer 1

Ответ:

x = 3^√n^2 , n ≠ 0

Объяснение:

Answer 2

To solve the equation, let's simplify each side step by step:

On the left side of the equation, we have: (x³)⁵ × x⁶

Using the exponent properties, we can simplify this as: x^(3*5) × x⁶ x^15 × x⁶ x^(15+6) x^21

On the right side of the equation, we have: (n⁵)⁴ ÷ (n²)³

Using the exponent properties, we can simplify this as: n^(54) ÷ n^(23) n^20 ÷ n^6 n^(20-6) n^14

Now we have the equation simplified to: x^21 = n^14

To solve for x, we need to isolate it on one side of the equation. Taking the 21st root of both sides:

(x^21)^(1/21) = (n^14)^(1/21) x^(21/21) = n^(14/21) x = n^(14/21)

Therefore, the solution to the equation is x = n^(14/21).