$\text{a)}0,000006=6\cdot 0,000001=6\cdot \frac{1}{{10}^6}=6\cdot {10}^{-6}$  

$\text{b)}0,000000009=9\cdot \frac{1}{{10}^9}=9\cdot {10}^{-9}$  

$\text{c)}0,0000000000007=7\cdot \frac{1}{{10}^{13}}=7\cdot {10}^{-13}$  

$\text{d)}100000000=1\cdot 1000000=1\cdot {10}^8$  

$6000000=6\cdot 1000000=6\cdot {10}^6$  

$\text{e)}10000000000000=1\cdot {10}^{13}$  

$\text{f)}8300000000000000000000000=8,3\cdot {10}^{24}$  

$0,00000000000000000000003=3\cdot \frac{1}{{10}^{23}}=3\cdot {10}^{-23}$