Answer:
![0.75* 10^(-12)](https://img.qammunity.org/2020/formulas/chemistry/high-school/7im0xzbj4c7oxy9mgsa0bbsyttgjr7nm8z.png)
Step-by-step explanation:
Formula used :
where,
a = amount of reactant left after n-half lives = ?
= Initial amount of the reactant =
![6* 10^(-12) g](https://img.qammunity.org/2020/formulas/chemistry/high-school/6aiknkoshpf5feapt8n2iq2cebmgirc2n7.png)
n = number of half lives = 3
Putting values in above equation, we get:
![a=0.75* 10^(-12)](https://img.qammunity.org/2020/formulas/chemistry/high-school/bv726tkkudthv3093hnydokixtnx6wib8z.png)
Therefore, the amount of carbon-14 left after 3 half lives will be
![0.75* 10^(-12)g](https://img.qammunity.org/2020/formulas/chemistry/high-school/gi6x8qof7jn9955imbvv2u8mlzewzpzbt9.png)