17.Surds and Indices Flashcards
1
Q
Surds - Simplification (Product Rule)
A
√(a * b) = √a * √b
2
Q
Surds - Simplification (Division Rule)
A
√(a / b) = √a / √b
3
Q
Surds - Rationalization (Addition)
A
√(a + b) = √(a + b) * (√a - √b) / (√a - √b)
4
Q
Surds - Rationalization (Subtraction)
A
√(a - b) = √(a - b) * (√a + √b) / (√a + √b)
5
Q
Indices - Product Rule
A
a^m * a^n = a^(m + n)
6
Q
Indices - Quotient Rule
A
a^m / a^n = a^(m - n)
7
Q
Indices - Power Rule
A
(a^m)^n = a^(m * n)
8
Q
Indices - Zero Exponent Rule
A
a^0 = 1 (where a ≠ 0)
9
Q
Indices - Negative Exponent Rule
A
a^(-m) = 1 / a^m (where a ≠ 0)
