\(a,5^{200}:5^{13}=5^{200-13}=5^{187}\)
\(b,7^{2001}:7=7^{2001-1}=7^{2000}\)
\(c,16^{137}:4^2=16^{137}:16=16^{137-1}=16^{136}\)
\(d,\left(2^{48}\cdot2^5\right):\left(2^3\cdot2^{17}\right)=2^{48+5}:2^{3+17}=2^{53}:2^{10}=2^{53-10}=2^{43}\)
a) \(5^{200}:5^{13}=5^{200-13}=5^{187}\)
b) \(7^{2001}:7=7^{2001-1}=7^{2000}\)
c) \(16^{137}:4^2=16^{137}:16=16^{137-1}=16^{136}\)
d) \(\left(2^{48}.2^5\right):\left(2^3.2^{17}\right)=\left(2^{48+5}\right):\left(2^{3+17}\right)=2^{53}:2^{20}=2^{53-20}=2^{33}\)
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