Question

Try these and answer me with steps ​

Answer 1

go on....solve it further!

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Answer 2

The final answer is 175.

Step-by-step explanation:

$\ Given \ value:\\\\(\frac{5^{-1}\times 7^2}{5^2 \times 7^{-4}})^\frac{7}{2} \times (\frac{5^{-2}\times 7^3}{5^3 \times 7^{-5}})^\frac{-5}{2} \\\\\ Solution:\\\\\ (\frac{5^{-1}\times 7^2}{5^2 \times 7^{-4}})^\frac{7}{2} \times (\frac{5^{-2}\times 7^3}{5^3 \times 7^{-5}})^\frac{-5}{2} \\\\\rightarrow (\frac{7^{4}\times 7^2}{5^2 \times 5^{1}})^\frac{7}{2} \times (\frac{7^{5}\times 7^3}{5^3 \times 5^{2}})^\frac{-5}{2}$

$\rightarrow (\frac{7^{6}}{5^3})^\frac{7}{2} \times (\frac{7^{8}}{5^5})^\frac{-5}{2}$

$\rightarrow (\frac{7^{20}}{5^\frac{21}{2}} \times \frac{7^{-20}}{5^\frac{-25}{2}}) \\\\\rightarrow (\frac{7^1}{5^\frac{-4}{2}})\\\\\rightarrow (7^1 \times 5^2})\\\\\rightarrow (7 \times 25})\\\\\rightarrow 175$

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