Сократите дробь:
...........100^n.......
(2^{2n-1} * 5^{2n-2})
100^n /(2^{2n-1} * 5^{2n-2}) =
100^n * 2 * 5^2 /(2^{2n} *5^{2n})=
100^n *50 /(4^{n}*25^{n})=
100^n*50 /(100^{n})=50
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Verified answer
100^n /(2^{2n-1} * 5^{2n-2}) =
100^n * 2 * 5^2 /(2^{2n} *5^{2n})=
100^n *50 /(4^{n}*25^{n})=
100^n*50 /(100^{n})=50