AS Pure: 1 Algebraic Expressions Flashcards
1
Q
Express the following in an alternative way:
aᵐ x aⁿ
aᵐ ÷ aⁿ
(aᵐ)ⁿ
(ab)ⁿ
A
aᵐ x aⁿ = aᵐ⁺ⁿ
aᵐ ÷ aⁿ = aᵐ⁻ⁿ
(aᵐ)ⁿ = aᵐⁿ
(ab)ⁿ = aⁿbⁿ
2
Q
How do you find the product of two expressions?
A
By multiplying each term in one Depression by each term in the other expression.
3
Q
Express the following in an alternative way:
a¹/ᵐ
aⁿ/ᵐ
a⁻ᵐ
a⁰
A
a¹/ᵐ = ᵐ√a aⁿ/ᵐ = ᵐ√aⁿ a⁻ᵐ = 1/aᵐ a⁰ = 1
4
Q
What are surds?
A
When n is an integer that is not a perfect square √n is a surd.
Surds are irrational.
5
Q
What are the properties of irrational numbers?
A
- Its decimal expansion is never-ending.
- Its decimal expansion never repeats.
6
Q
Express the following in an alternative way:
√ab
√a/b
A
√ab = √a x √b √a/b = √a / √b
