Question

What is the remainder if (32^32 + 32) is divided by 33?

Answer 1

Answer:

0

Step-by-step explanation:

33³²=1(mod 33). ( using fermat's first theorem)

32=32(mod. 33)

adding both these equations.

33³²+32=1+32(mod33)

33³²+32=33(mod 33)

33³²+32=0(mod 33). since remainder 33 is exactly divisible by divisor

33