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Answer:
=((5^4) x (10^2) x (2^5))/((8^2) x (5^2))
=((5^2) x (10^2) x (2^5))/(((2^3)^2))
=((5^2) x (10^2) x (2^5))/(2^6)
=((5^2) x (10^2))/2
=((5^2) x (5 x 2)^2)/2
=((5^2) x (5^2) x (2^2))/2
=((5^2) x (5^2) x 2)
=(25 x 25 x 2)
=(25 x 50)
= 1250
= 5^4 x 2
laws used are
a^m x a^n = a^(m+n)
a^m ÷ a^n = a^(m-n)
(a^m)^n = a^mn
(ab)^m = a^m x b^m
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