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HC Algebra
Algebra Rules for Calculus
| Question | Answer |
|---|---|
| a^m a^n | a^(m+n) |
| a^0 | 1 |
| (a^m)^n | a^mn |
| (ab)^m | a^m b^m |
| a^m/a^n | a^(m-n) |
| (a/b)^m | a^m/b^m |
| a^(-m) | 1/a^m |
| a^(m/n) | n_th root of a^m |
| ln(MN) | ln(M) + ln(N) |
| ln(M/N) | ln(M) - ln(N) |
| ln(M^r) | r ln(M) |
| ln(1) | 0 |
| ln(e) | 1 |
| (a+b)^2 | a^2 + 2ab + b^2 |
| (a-b)^2 | a^2 -2ab + b^2 |
| a^2 - b^2 | (a - b)(a + b) |
| y = ln(x) | x = e^y |