$a)\sqrt{2,25\cdot {10}^{12}}=\sqrt{2,25}\cdot \sqrt{{10}^{12}}=1,5\cdot {10}^6$

 

$b)\sqrt{1,6\cdot {10}^9}=\sqrt{16\cdot {10}^{-1}\cdot {10}^9}=\sqrt{16\cdot {10}^{-1+9}}=\sqrt{16\cdot {10}^8}=\sqrt{16}\cdot \sqrt{{\left({10}^4\right)}^2}=4\cdot {10}^4$ $b)\sqrt{1,6\cdot {10}^9}=\sqrt{16\cdot {10}^{-1}\cdot {10}^9}=\sqrt{16\cdot {10}^{-1+9}}=\sqrt{16\cdot {10}^8}=\sqrt{16}\cdot \sqrt{{\left({10}^4\right)}^2}=4\cdot {10}^4$

 

$c)\sqrt{4,9\cdot {10}^{-17}}=\sqrt{49\cdot {10}^{-1}\cdot {10}^{-17}}=\sqrt{49\cdot {10}^{-1-17}}=\sqrt{49\cdot {10}^{-18}}=\sqrt{49}\cdot \sqrt{{\left({10}^{-9}\right)}^2}=7\cdot {10}^{-9}$

 

$d)\sqrt[3]{3,375\cdot {10}^{24}}=\sqrt[3]{3,375}\cdot \sqrt[3]{{\left({10}^8\right)}^3}=1,5\cdot {10}^8$

 

$e)\sqrt[3]{1,5625\cdot {10}^{16}}=\sqrt[3]{15,625\cdot {10}^{-1}\cdot {10}^{16}}=\sqrt[3]{15,625\cdot {10}^{-1+16}}=\sqrt[3]{15,625\cdot {10}^{15}}=\sqrt[3]{15,625}\cdot \sqrt[3]{{\left({10}^5\right)}^3}=2,5\cdot {10}^5$

 

$f)\sqrt[3]{2,7\cdot {10}^{-17}}=\sqrt[3]{27\cdot {10}^{-1}\cdot {10}^{-17}}=\sqrt[3]{27\cdot {10}^{-1-17}}=\sqrt[3]{27\cdot {10}^{-18}}=\sqrt[3]{27}\cdot \sqrt[3]{{\left({10}^{-6}\right)}^3}=3\cdot {10}^{-6}$