what is the value of 3(2)^0?

Anything raised to the 0 power is 1, so we get:

3(2)^0

3(1)

3 x 1

3

 

Here's an explanation of why anything raised to the 0 power is 1 if your not buying it: http://mathforum.org/dr.math/faq/faq.number.to.0power.html