If a : b = b : c, then what is the value of a6 : b6?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. a3 : c3.
Calculations:
We have, a/b = b/c ⇒ ac = b2
Put a = 9, b = 3 and c = 1
Thus, the value of a6 : b6 = 96 : 36 = 312/36 = 36
From the options, we can check that, only option 3 gives such value.