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Given that $a>0$ and $b>0$, write the simplified form of the radical expression:

$$\sqrt { 100{ a }^{ 2}{ b }^{ 6 } }$$

A

$10a{b}^{2.4}$

B

$10a{b}^{3}$

C

$10{a}^{1.4}{b}^{2.4}$

D

$10{a}^{2}{b}^{6}$

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