581. The value of √25^3x/5^6x-2 = _____?
- A. None of these
- B. 15
- C. 10
- D. 5
Check answer and explanation
Answer: 5
Explanation Let's simplify the expression: √25^(3x) = √(5²)^(3x) = √(5^(6x)) = 5^(3x) Now, divide by 5^(6x-2): 5^(3x) / 5^(6x-2) = 5^(3x - 6x + 2) = 5^(-3x + 2) For this to equal one of the given options (5, 10, 15), let's see if -3x + 2 = 1 (for 5¹ = 5): -3x + 2 = 1 -3x = -1 x = 1/3 Then, 5^(-3(1/3) + 2) = 5¹ = 5