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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 |