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# High powers

can anyone tell me how to find last 2 digits of numbers raised to high powers .for example $\Huge \color{blue}7^{\color{green}7^{\color{red}7^{\color{brown}7^{\color{magenta}7^{\color {grey}7^\color{violet}7}}}}}$

Note by Sakshi Rathore
1 year, 2 months ago

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Check out Euler's Totient Function and Chinese Remainder Theorem.

These ideas are included in Finding the last digit of a power, which you can use to find the last few digits. Staff · 1 year, 2 months ago