# Using the theorem

Find the remainder: $$2^{50} \div 17$$
$$4$$
Find the remainder: $$4^{532} \div 11$$
$$5$$
Find the remainder: $$7^{2001} \div 5$$
Find the remainder: $$5^{3571} \div 11$$
Find the remainder: $$4^{100{,}000} \div 19$$