The general expression would be:

In an organism that is 20,000 years old (t = 20000), we would expect:

This menas there would be around 8.898% of carbon-14 remaining in the organism.
Answer:
The probability that the first card chosen is club and second card chosen is of heart is .
Step-by-step explanation:
Total number of cards in the deck is 52 (total number of cases).
Probability of an event E can be formulated as:

For event A, number of cards of type club = 13 (favorable cases)
So,

For event B, number of cards of type heart = 13 (favorable cases)
So,

It is given that card is replaced before choosing the second card.
These events A and B are independent events, happening of one event does not effect the happening of other. And probability of both happening together can be found as following:


The probability that the first card chosen is club and second card chosen is of heart is
.
8(m+5)=16
8m+40=16
8m=24
m=3
The answer for the question shown above is the first option: x^2(x^2)^1/4
When you simplify the expression, you obtain the equivalent expression:
(x^10)^1/4
[(x^8)(x2)]^1/4
x^2(x^2)^1/4
Therefore, the asnwer is the option mentioned before.