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(a) Find the last two digits of $9*7*11$.
(b) Find the last two digits of $4^{5^6}$. (By convention, exponent towers are evaluated from the top down, so $4^{5^6} = 4^{(5^6)}$.)

 Jul 15, 2024
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(a) For this part, it isn't too hard to multiply the numbers out. 

All 3 numbers are very small, so the product is not large. 

We just have 9711=693, so 93 is our answer. 

 Jul 15, 2024

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