Notice that 672 mod 83 is fairly easy to calculate: 672 mod 83 = 4489 mod 83 = 7. Since 674 mod 83 = (672)2 mod 83 can be rewritten using the modular exponent rule as (672 mod 83)2 mod 83, this is also easy to evaluate: 674 mod 83 = (672 mod 83)2 mod 83 = 72 mod 83 = 49. This process can be continued to find 678 mod 83 as (64)2 mod 83. Find this value, then find 6716 mod 83 and 6732 mod 83.