Question

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【Q】―【 Evaluation】

G∅D will ẞless Y∅U
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Answer 1

correct answer is 5

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Answer 2

Answer:

5

Step-by-step explanation:

${5}^{n} \times 25 {}^{n - 1} \div (5 {}^{n - 1} \times 25 {}^{n - 1} ) \\ \\ 5 {}^{n} \times 5 {}^{2(n - 1)} \div (5 {}^{n - 1} \times 5 {}^{2(n - 1)} ) \\ \\ {5}^{n} \times 5 {}^{2n - 2} \div (5 {}^{n - 1} \times {5}^{2n - 2} ) \\ \\ \frac{ {5}^{n} \times 5 {}^{2n - 2} }{5 {}^{n - 1} \times {5}^{2n - 2} } \\ \\ \frac{5 {}^{n + 2n - 2} }{5 {}^{n - 1 + 2n - 2} } \\ \\ \frac{ {5}^{3n - 2} }{5 {}^{3n - 3} } \\ \\ 5 {}^{3n - 2 - (3n - 3)} \\ \\ {5}^{3n - 2 - 3n + 3} \\ \\ {5}^{1} \\ \\ = 5$

Identity used

x^a×x^b=x^a+B

x^a÷x^b=x^a-b