To simplify the expression (2b/c)³, we start by applying the power to both the numerator and the denominator. This means we raise both the numerator (2b) and the denominator (c) to the power of 3.
So, we have:
(2b)³ in the numerator and c³ in the denominator.
Calculating the numerator:
- (2b)³ = 2³ * b³ = 8b³
The denominator when simplified remains c³. Thus, we can combine these into a single fraction:
(2b/c)³ = 8b³/c³
Hence, the correct simplification of the expression (2b/c)³ is:
8b³/c³