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(a) Find the last two digits of $9*5*3$.
(b) Find the last two digits of $1^{2^3}$. (By convention, exponent towers are evaluated from the top down, so $1^{2^3} = 1^{(2^3)}$.)

 Jul 27, 2024
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     9 • 5 • 3 = 135       Last two digits are 35    

 

     1^(2^3) = 18 = 1     One raised to any positive power is still one,    

.

 Jul 30, 2024

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