1) 1+2+3+...+73= (73*74):2=2701;
2) 53+368:(1463:7-1608:8)+1= 58 +368:(209 - 201)+1=58+368:8+1=105;
3) 336:(7^{2}+0^{7}-5^{2})=336:49+0-25=(336-1225):49= - 889/49= -127/7;
4) b^{13}·b·b^{21}·b^{20}=b¹³⁺¹⁺²¹⁺²⁰=b⁵⁵;
5) 16^{4}·4^{10}·64^{5}=16⁴*16⁵*16²⁰=16²⁹;
6) c^{58}:c^{39}:c^{9}=c⁵⁸⁻³⁹⁻⁹=c¹⁰;
7) 125^{42}:25^{63}=5³*⁴²⁻5²*⁶³=5¹²⁶⁻¹²⁶=5⁰=1;
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9) 2^{1}·2^{2}·2^{3}·2^{4}·2^{45}=2¹⁺²⁺³⁺⁴⁺⁴⁵=2⁵⁵;
10) (1+5^{10}):(1+5^{10}= 1 ;