910813
Description
Flashcards by Mike Nervo, updated more than 1 year ago
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Created by Mike Nervo
almost 10 years ago
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| Question | Answer |
| \( x^0 \) | 1 |
| \( x^m * x^n \) | \( x^{m+n} \) |
| \( \frac{x^m}{x^n} \) | \( x^{m-n} \) |
| \( (xy)^n \) | \( x^n * y^n \) |
| \(x^{-m} \) | \( \frac {1}{x^m} \) |
| \( (x^n)^m \) | \( x^{n*m} \) |
| \( \left( \frac{x}{y} \right) ^n\) | \( \frac{x^n}{y^n} \) |
| \(e^x\) | \( exp(x) \) |
| If \( b^x = y^x \) | \( x = y \) (where \( b > 0 \) and \( b \neq 1 \) ) |
| \(\ln(x)\) and \(e^x\) are | inverse functions |
| \(\ln e^x \) | x |
| \( e^{\ln x} \) | x |
| \( \ln e \) | 1 |
| \( e^{2 \ln 3} \) | \( e^{\ln 3^2} \) = 9 |
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