If m m m and n n n are natural numbers such that n > 1 n > 1 n > 1 , and m n = 2 25 × 3 40 m^n = 2^{25} \times 3^{40} m n = 2 25 × 3 40 , the...

Question

If

mm
and
nn
are natural numbers such that
n>1n > 1
, and
mn=225×340m^n = 2^{25} \times 3^{40}
, then
mnm - n
equals

Options

A.

209932

B.

209937

C.

209947

D.

209942

cat 2024exponentsnatural numbers

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