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Simplify : $\left( \dfrac{5a}{b^{2}}\right)^{2}$

$\dfrac{5a^{2}}{b^{4}}$
$\dfrac{25a^{2}}{b^{2}}$
$\dfrac{25a^{2}}{b^{4}}$
$\dfrac{5a^{2}}{b^{2}}$
Explanation:

$\left( \dfrac{5a}{b^{2}}\right)^{2} =\dfrac{ 5^{2}a^{2}}{b^{2 \times 2}}$ [Using Rule $(a^{m})^{n} = a^{mn}$]

=$\dfrac{25a^{2}}{b^{4}}$ [Evaluate 52]
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