Răspuns:
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Explicație pas cu pas:
a) (7³²+4·7³⁰):53=(7²·7³⁰+4·7³⁰):53=7³⁰·(49+4):53=7³⁰·53:53=7³⁰. catul, restul 0
b) (5²³+5²²+5²¹):31=(5²¹·5²+5²¹·5¹+5²¹·1):31=5²¹·(5²+5¹+1):31=5²¹·31:31=5²¹. catul, restul 0
c) (3¹⁰⁰+3¹⁰¹+3¹⁰²+3¹⁰³):40=(3¹⁰⁰·1+3¹⁰⁰·3¹+3¹⁰⁰·3²+3¹⁰⁰·3³):40=3¹⁰⁰·(1+3+9+27):40=3¹⁰⁰·40:40=3¹⁰⁰. catul, restul 0
c) (8⁴¹+8⁴²+8⁴³+8⁴⁵+8⁴⁶):73=(8⁴¹·1+8⁴¹·8¹+8⁴¹·8²+8⁴¹·8⁴+8⁴¹·8⁵):73=8⁴¹·(1+8+64):73+8⁴⁵(1+8):73