simplification of the expression 2 times b over c all to the power of 3

The simplified expression is:

$$\left(\frac{2b}{c}\right)^3 = \frac{8b^3}{c^3}$$

To simplify the expression (2b/c)^3, we need to raise both the numerator and the denominator to the power of 3.

Let's start by simplifying the numerator (2b)^3:
(2b)^3 = 2^3 * b^3 = 8b^3

Next, we simplify the denominator c^3.

Therefore, the simplified expression is:
(2b/c)^3 = (8b^3)/(c^3)