Question

\(\dfrac{6^{25}}{4^{12}.9^{13}}\)

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Answer 1

\(=\dfrac{3^{25}\cdot2^{25}}{2^{24}\cdot3^{26}}=\dfrac{2}{3}\)

Answer 2

\(\dfrac{6^{25}}{4^{12}.9^{13}}=\dfrac{\left(2.3\right)^{25}}{\left(2^2\right)^{12}.\left(3^2\right)^{13}}=\dfrac{2^{25}.3^{25}}{2^{24}.3^{26}}=\dfrac{2}{3}\)

Answer 3

\(\dfrac{2}{3}\)