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Finding the 10th root of a matrix

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#linear-algebra #matrices #exponentiation #matrix-equations
29
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how to prove that after specific value of negative power, any two exponential functions will be equal?

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#limits #exponentiation
106
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Why is the exponent written after the logarithm function instead of after the operand?

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#notation #logarithms #terminology #exponentiation
73
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Prove that $\sqrt[kn]{a^{km}}=\sqrt[n]{a^m}$

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#exponentiation
333
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Is it true that one can't raise both sides of an equation to a complex power?

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#complex-numbers #exponentiation
59
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$9^x=5$, solve for $5\cdot27^{-x-1}$

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#exponentiation
762
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Solve Equation and find $X$. Quadratic equation equated to indices power of $x$

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#logarithms #quadratics #exponentiation
571
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What's the link between logarithms and the zeroth power, if any?

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#logarithms #exponentiation #intuition
97
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Exponentiation of a symmetric $2 \times 2$ matrix

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#matrices #exponentiation #symmetric-matrices
2.5k
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Solve congruence with large exponents

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#elementary-number-theory #modular-arithmetic #exponentiation #totient-function #chinese-remainder-theorem
276
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Wrong reasoning with $x^{\frac{1}{\infty}}=x^0=1$?

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#algebra-precalculus #exponentiation #real-numbers
156
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Fermat's Last Theorem And Modular Arithmetic

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#modular-arithmetic #exponentiation
612
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How to solve $x3^x=18$ algebraically

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#exponential-function #roots #exponentiation #lambert-w
858
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Determine all pairs of positive integers $(m,n)$ that satisfies $m!+n!=m^n$

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#exponentiation #factorial
590
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Prove that $x^x+y^y=z^z$ doesn't have integer solutions

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#number-theory #proof-verification #contest-math #exponentiation #integers

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