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How to determine efficiently if the arithmetic addition and subtraction of certain powers of N can be equal to M?

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#exponentiation
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What are the rules of powers of powers?

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#exponentiation
19.2k
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What is the value of i^i?

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#exponentiation
220
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Is $ (((\sqrt{2})^ \sqrt{2})^ \sqrt{2})^{\cdots} $ an irrational number?

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#calculus #limits #exponentiation #rationality-testing
99
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Evaluate $2^{-n}(2^n-2^{1+n})$

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#exponentiation
3.5k
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How to find the value of $x$ in $x^5=32$

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#exponentiation
475
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What are the last two digits of $77^{17}$?

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#elementary-number-theory #modular-arithmetic #exponentiation #binomial-theorem #decimal-expansion
113
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Find all $x$ such that $2^x,2^{x^2}$ and $2^{x^3}$ form $3$ terms of an A.P.

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#sequences-and-series #exponentiation #arithmetic-progressions
180
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Finding the last digit of $7^n$, $n\ge 1$.

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#elementary-number-theory #modular-arithmetic #exponentiation #decimal-expansion
98
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Help with some simpler symmetric group $S_n$ problems.

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#abstract-algebra #group-theory #permutations #exponentiation #symmetric-groups
96
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Find remainder of $\frac{17^{235}}{ 23}$

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#divisibility #exponentiation
519
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Which is the largest power of natural number that can be evaluated by computers?

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#exponentiation
179
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Exponentiation of Pascal's Triangle(in matrix form)

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#matrices #algorithms #computer-science #binomial-coefficients #exponentiation
170
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What is the logic/theorem/derivation behind finding the exponent of p in n! By [n/p] + [n/p^2] + [n/p^3] + ....?

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#elementary-number-theory #exponentiation #factorial
118
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Is there any notation for general $n$-th root $r$ such that $r^n=x$?

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#algebra-precalculus #notation #terminology #roots #exponentiation

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