Question

EVALUATE:

Evaluate
Topic: Exponents
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Answer 1

${5}^{2 } \times {3}^{4} \div 7 {}^{2}$

$25 \times 81 \div 49$

$2025 \div 49$

Answer 2

EXPLANATION.

$\rm \underline{evaluate \: : - } \: \: \boxed{ \tt \dfrac{7^{-2} }{(5^{-2})(3^{-4})} }$

$: \implies \tt \: \dfrac{ \dfrac{1}{49} }{(5^{-2})(3^{-4})} \\\\ \: : \implies\tt \: \dfrac{ \dfrac{1}{49} }{ \dfrac{1}{25} (3^{-4})} \\\\ \: : \implies\tt \: \dfrac{ \dfrac{1}{49} }{ \dfrac{1}{25} ( \dfrac{1}{81} )} \\\\ \: : \implies\tt\dfrac{ \dfrac{1}{49} }{ \dfrac{1}{2025} } \\\\ \: \boxed{ \purple{ : \implies\tt{ \dfrac{2025} {49}} }}$