Indices Flashcards
1
Q
Adding the same number with indices
A
e.g. 4⁴ + 4³
4⁴+ 4³=4⁷
2
Q
Dividing powers
A
𝑒.𝑔 5³/5²=5³−²=5¹
3
Q
Multiplying powers
A
𝑒.𝑔 (5²)³=5⁶
4
Q
Negative powers
A
3⁻²=1/3²
=1/9
5
Q
Terms using indices
A
(3𝑥)²=3²𝑥²=9𝑥²
6
Q
Fractions with powers
A
[2]³ [2³] [8]
[3] = [3³] = [27]
7
Q
When the indice is a fraction
A
9 to power of ½= √9
9 to power of ⅓=³√9
8
Q
What is a surd
A
A surd is a number in the form √ that can’t be written as a rational number i.e. in the form 𝑎/𝑏
E.g. √2 and √3 are both surds but √9 is not as it can be written as 3/1
9
Q
Reducing surds
A
We can use the rule √𝑎𝑏=√𝑎√𝑏 to reduce larger surds into a simpler form
