Question

The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$

score 305 · Answer 1 · 2026-03-26 17:46:10

305

Views

The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$

Published on 26 Mar 2026 - 17:46

score 56 · Answer 2 · 2019-09-01 19:58:33

56

Views

fractional powers of x

Published on 01 Sep 2019 - 19:58

score 162 · Answer 3 · 2026-03-25 07:43:28

162

Views

What is the $n^\text{th}$ perfect power, $P(n)$?

Published on 25 Mar 2026 - 7:43

score 90 · Answer 4 · 2019-09-05 05:18:38

90

Views

Well-definedness of rational exponents?

Published on 05 Sep 2019 - 5:18

score 108 · Answer 5 · 2026-03-26 22:58:47

108

Views

Pattern in the differences between powers of 2 and 3

Published on 26 Mar 2026 - 22:58

score 50 · Answer 6 · 2019-09-07 04:52:12

50

Views

Why can't we define $0^0=1$, just like we did with $0!=1$?

Published on 07 Sep 2019 - 4:52

score 230 · Answer 7 · 2026-03-27 10:17:11

230

Views

Comparing $a^b$ and $b^a$ when $b < e < a$

Published on 27 Mar 2026 - 10:17

score 717 · Answer 8 · 2019-09-13 12:33:47

717

Views

Hard inequality :$\Big(\frac{1}{a^2+b^2}\Big)^2+\Big(\frac{1}{b^2+c^2}\Big)^2+\Big(\frac{1}{c^2+a^2}\Big)^2\geq \frac{3}{4}$

Published on 13 Sep 2019 - 12:33

score 110 · Answer 9 · 2019-09-15 03:03:28

110

Views

Exponentiating a 'polynomial' with non-negative real powers to produce a polynomial with integer powers

Published on 15 Sep 2019 - 3:03

score 38 · Answer 10 · 2019-09-16 01:02:11

38

Views

Is it safe to assume that $x=y$ for the equation $x^y=y^x$?

Published on 16 Sep 2019 - 1:02

score 111 · Answer 11 · 2019-09-16 02:13:24

111

Views

How can we prove for the solutions of the equation $x^y=y^z=z^a...$?

Published on 16 Sep 2019 - 2:13

score 101 · Answer 12 · 2019-09-16 02:47:20

How to derive $e^x = \lim_{n \to \infty} \left( 1 + \frac x n \right)^ n$ directly from $e = \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^ n$?

score 54 · Answer 13 · 2019-09-17 11:24:14

54

Views

Don't understand how powers of logarithm work.

Published on 17 Sep 2019 - 11:24

score 735 · Answer 14 · 2019-09-19 02:17:04

735

Views

Relationship of Power Law Scaling to Self-Similarity

Published on 19 Sep 2019 - 2:17

score 76 · Answer 15 · 2019-09-22 01:39:15

76

Views

An inequality about exponentials.

Published on 22 Sep 2019 - 1:39

List Question

The units digit of $(((\dots((2018^{2017})^{2016})^{.^{.^{.}}})^3)^2)^1$

fractional powers of x

What is the $n^\text{th}$ perfect power, $P(n)$?

Well-definedness of rational exponents?

Pattern in the differences between powers of 2 and 3

Why can't we define $0^0=1$, just like we did with $0!=1$?

Comparing $a^b$ and $b^a$ when $b < e < a$

Hard inequality :$\Big(\frac{1}{a^2+b^2}\Big)^2+\Big(\frac{1}{b^2+c^2}\Big)^2+\Big(\frac{1}{c^2+a^2}\Big)^2\geq \frac{3}{4}$

Exponentiating a 'polynomial' with non-negative real powers to produce a polynomial with integer powers

Is it safe to assume that $x=y$ for the equation $x^y=y^x$?

How can we prove for the solutions of the equation $x^y=y^z=z^a...$?

How to derive $e^x = \lim_{n \to \infty} \left( 1 + \frac x n \right)^ n$ directly from $e = \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^ n$?

Don't understand how powers of logarithm work.

Relationship of Power Law Scaling to Self-Similarity

An inequality about exponentials.

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