Algebraic Expressions Flashcards
1
Q
What is sqrt(ab) the same as?
A
Sqrt(a) × sqrt(b)
2
Q
What is sqrt(a/b) the same as?
A
Sqrt(a)/sqrt(b)
3
Q
What is aⁿ × a² equal to?
A
aⁿ+²
4
Q
What is aⁿ ÷ a² equal to?
A
aⁿ-²
5
Q
What is (aⁿ)² equal to?
A
a²ⁿ
6
Q
What is (ab)ⁿ equal to?
A
aⁿbⁿ
7
Q
What is a½ equal to?
A
Sqrt(a)
8
Q
What is a⅔ equal to?
A
Cbrt(a²)
9
Q
What is a-ⁿ equal to?
A
1/aⁿ
10
Q
What is a⁰ equal to?
A
1
11
Q
How do you rationalise fractions in the form 1/sqrt(a) ?
A
Multiply the numerator and denominator by sqrt(a)
12
Q
How do you rationalise fractions in the form 1/(a + sqrt(b)) ?
A
Multiply the numerator and denominator by a - sqrt(b)
13
Q
How do you rationalise fractions in the form 1/(a - sqrt(b)) ?
A
Multiply the numerator and denominator by a + sqrt(b)