If (1/5)^{3y} = 0.008, then find the value of (0.25) y .
2017
If (1/5)^{3y} = 0.008, then find the value of (0.25) y .
- A.
1.00
- B.
0.75
- C.
0.50
- D.
0.25
Attempted by 25 students.
Show answer & explanation
Correct answer: D
Key observation: 0.008 = 8/1000 = 1/125 = (1/5)^3.
Step 1: Equate the exponents using the same base.
Since (1/5)^{3y} = (1/5)^3, we have 3y = 3.
So y = 1.
Now compute (0.25)^y = (0.25)^1 = 0.25.
Final answer: 0.25