This is a draft cheat sheet. It is a work in progress and is not finished yet.
Laws of exponents
am × an |
= |
am + n |
am ÷ an |
= |
am - n |
(am)n |
= |
amn |
(a / b)m |
= |
am / bm |
(a ± b)m |
≠ |
am ± bm |
a-m |
= |
1 / am |
am / n |
= |
n√am |
1a |
= |
1 |
a0 |
= |
1 |
0a |
= |
0 |
00 |
→ |
not defined |
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Radicals
even root of positive number |
→ |
postive and negative |
even root of negative number |
→ |
none |
odd root of positive number |
→ |
positive |
odd root of negative number |
→ |
negative |
Operations
a n√c ± b n√c |
= |
(a ± b) n√c |
a n√c × b n√d |
= |
(a × b) n√(c × d) |
Conjugate
n√a + n√b |
→ |
n√a - n√b |
n√a - n√b |
→ |
n√a + n√b |
Finding the root of x ± 2√y
√((a + b) + 2√(ab)) |
= |
√a + √b |
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