Question

solve
$3 ^{ - 4} \times 10 ^{ - 5} \times 25 \div 5 ^{ - 7} \times 6 ^{ - 4}$

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Answer 1

Answer:

$\frac{5^{4} }{2}$

Step-by-step explanation:

$\frac{(3^{-4} * 10^{-5} * 25)}{5^{-7} * 6^{-4} } \\\frac{5^{7} * 6^{4} * 25 }{(3^{4} * 10^{5} )} \\\frac{5^{7} * (2*3)^{4} * 5^{2} }{(3^{4} * (2*5)^{5} )} \\\\\frac{5^{9} * 3^{4} * 2^{4} }{3^{4} * 2^{5} * 5^{5}} \\\\\frac{5^{9-5} * 3^{4-4} * 2^{4-4} }{2}$

Therefore, the final figure is: $\frac{5^{4} }{2}$