What is the remainder when 45647^(1+4+9+...+625) is divided by 34?

sry cal mistakewhen u first divide 45647 with 34 remainder is 1919^9=171 & 34x5=170the exponent of 45647 is 25x13x17so the remainder of (25x13x17) with 9 will be 8so remaining will be 19^8/34so remainder will be 15

Explanation:- 45647 when divided by 34 leaves a remainder of 19.and In the power we are getting square of nos 1+2^2+3^2......25^2 using sum formula we get this as 5525 so question reduces to 19^5525 divided by 34 we can further apply euler no concept to find that 16th power will give remainder of 1 so question becomes (19^5)/34 gives rem 15

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The first foreign bank in India was Chartered Bank of India, Australia, and China, a bank incorporated in London. It was founded in 1853 in London by James Wilson, following the grant of a Royal Charter from Queen Victoria. In 1858, it opened its first branches in Calcutta, Bombay, and Shanghai.