The expression you are looking at is 3 times 10 to the power of 8, which can be mathematically represented as 3 x 10^8.
To break it down, 10^8 means that you multiply 10 by itself 8 times. So, 10^8 = 10,000,000,00 or 100 million.
Now, to find the value of 3 x 10^8, you simply multiply 3 by 100 million:
3 x 100,000,000 = 300,000,000
Thus, the value of 3 times 10 to the power of 8 is 300,000,000 or three hundred million.
This calculation illustrates the power of exponents and how they can help express large numbers in a simpler mathematical form!