Question

Prove that $\sqrt{7}^{\sqrt{8}}>\sqrt{8}^{\sqrt{7}}$

score 1.9k · Answer 1 · 2026-03-25 11:11:45

1.9k

Views

Prove that $\sqrt{7}^{\sqrt{8}}>\sqrt{8}^{\sqrt{7}}$

Published on 25 Mar 2026 - 11:11

score 1.1k · Answer 2 · 2026-04-12 08:48:05

1.1k

Views

Why are the first few powers of $2^{10}$ a little more than those of 1000?

Published on 12 Apr 2026 - 8:48

score 2k · Answer 3 · 2026-03-25 17:24:29

2k

Views

Is 2201 really the only non-palindromic number whose cube is palindromic?

Published on 25 Mar 2026 - 17:24

score 180 · Answer 4 · 2026-04-06 18:18:37

180

Views

How would I compute a fractional exponent, such as $\bigl(\frac{9}{16}\bigr)^{3/2}$?

Published on 06 Apr 2026 - 18:18

score 55 · Answer 5 · 2026-04-10 04:15:54

55

Views

Stuck on Elementary Exponentiation

Published on 10 Apr 2026 - 4:15

score 12.1k · Answer 6 · 2013-07-04 02:13:34

12.1k

Views

Prove exponent law $a^b\cdot a^c=a^{b+c}$ for all $ a, b \text{ and } c \in \mathbb{R}$ and $a>1$

Published on 04 Jul 2013 - 2:13

score 132 · Answer 7 · 2013-07-08 11:41:25

Can $(-1)^{a+i b}$ be expressed without negative based exponentiation, complex exponentiation, complex logarithms or trigonometric functions?

score 226 · Answer 8 · 2026-04-12 00:18:18

226

Views

Name of the $(-1)^n$ function?

Published on 12 Apr 2026 - 0:18

score 233 · Answer 9 · 2013-07-09 04:30:00

233

Views

Limit of ${x^{x^x}}$ as $x\to 0^+$

Published on 09 Jul 2013 - 4:30

score 136 · Answer 10 · 2013-07-11 07:28:16

136

Views

Proving that not defined value is equal to something

Published on 11 Jul 2013 - 7:28

score 1.4k · Answer 11 · 2026-04-05 00:31:21

1.4k

Views

zero raised to infinity

Published on 05 Apr 2026 - 0:31

score 5.1k · Answer 12 · 2026-04-12 08:18:17

5.1k

Views

How to calculate the exponent of a given number.

Published on 12 Apr 2026 - 8:18

score 5.9k · Answer 13 · 2026-04-12 05:17:28

5.9k

Views

Visual proof of the addition formula for $\sin^2(a+b)$?

Published on 12 Apr 2026 - 5:17

score 5.3k · Answer 14 · 2013-07-15 02:10:52

5.3k

Views

Suggestions on how to prove the following equality. $a^{m+n}=a^m a^n$

Published on 15 Jul 2013 - 2:10

score 64 · Answer 15 · 2026-04-12 02:39:57

64

Views

Does $\mathrm{Im}(\exp)$ being a manifold imply the domain is a manifold?

Published on 12 Apr 2026 - 2:39

List Question

Prove that $\sqrt{7}^{\sqrt{8}}>\sqrt{8}^{\sqrt{7}}$

Why are the first few powers of $2^{10}$ a little more than those of 1000?

Is 2201 really the only non-palindromic number whose cube is palindromic?

How would I compute a fractional exponent, such as $\bigl(\frac{9}{16}\bigr)^{3/2}$?

Stuck on Elementary Exponentiation

Prove exponent law $a^b\cdot a^c=a^{b+c}$ for all $ a, b \text{ and } c \in \mathbb{R}$ and $a>1$

Can $(-1)^{a+i b}$ be expressed without negative based exponentiation, complex exponentiation, complex logarithms or trigonometric functions?

Name of the $(-1)^n$ function?

Limit of ${x^{x^x}}$ as $x\to 0^+$

Proving that not defined value is equal to something

zero raised to infinity

How to calculate the exponent of a given number.

Visual proof of the addition formula for $\sin^2(a+b)$?

Suggestions on how to prove the following equality. $a^{m+n}=a^m a^n$

Does $\mathrm{Im}(\exp)$ being a manifold imply the domain is a manifold?

Trending Questions

Popular # Hahtags

Popular Questions