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# Rules of Exponents

Adding 10 to itself 10 times gives 100, but how can we represent 10 multiplied to itself 10 times?

Evaluate \[ \Large 3^{2^3}. \]

Evaluate

\[ \huge 4^{3^{2^{1^{0}}}}. \]

\[ \Large P = \frac{4^{3^2}}{2^{3^4}} \]

Which of the following is correct about the above number \(P?\)

\[ \Huge 2^{2^{2^{2^2}}} \qquad 3^{3^{3^3}} \qquad 10^{10^{10}} \]

Which of the above is the largest?

\[ \Large 10^{10^{10}} \]

How many digits does the above number have?

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