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Let $a$ and $m$ be positive integers such that gcd$(a,m)=1$. Show that: $a^m+1$ is not a prime.

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#elementary-number-theory #prime-numbers #exponentiation
339
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Matrix exponential: $\begin{pmatrix} 0 & 1 \\ -4 & 0 \end{pmatrix}$

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#matrices #exponentiation #matrix-calculus
6.5k
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How to find out which number is larger without a calculator?

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#algebra-precalculus #inequality #arithmetic #exponentiation
2.6k
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If $3^{33}+3^{33}+3^{33}=3^{x}$. Solve for $x$.

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#exponentiation
219
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Relation between $x,y,z$....Exponent problem...

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#exponential-function #exponentiation #inverse
227
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Prove the following using induction on d (matrices)

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#matrices #induction #exponentiation
928
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How to evaluate $45^\frac {1-a-b}{2-2a}$ where $90^a=2$ and $90^b=5$ without using logarithm?

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#logarithms #exponentiation
170
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Is it valid to simplify $\sqrt{(t-7)^3}$ to $(t-7)^2$?

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#algebra-precalculus #exponentiation
418
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What is the difference in exponential of log and ln

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#logarithms #exponentiation
38
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Simplifying ${2\sqrt[3]{e} \times 4\sqrt[3]{e^2}}$

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#algebra-precalculus #exponentiation
378
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Show that $(2^n-1)^{1/n}$ is irrational

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#elementary-number-theory #contest-math #exponentiation #radicals #rationality-testing
133
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Positive integer solutions to $a^x-b^y=2$

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#number-theory #diophantine-equations #exponentiation
82
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How to solve for $n: n \le 2^n a$?

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#inequality #exponentiation
115
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What is the difference between $-1^2$ and $(-1)^2$?

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#algebra-precalculus #notation #recreational-mathematics #intuition #exponentiation
380
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How to solve $B = x^c - (1 - x)^c$

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#exponentiation #elementary-functions

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