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]
$\left( \dfrac{5a}{b^{2}}\right)^{2} =\dfrac{ 5^{2}a^{2}}{b^{2 \times 2}}$ [Using Rule $(a^{m})^{n} = a^{mn}$]
=$\dfrac{25a^{2}}{b^{4}}$ [Evaluate 52]