Indices
This section covers Indices revision.
An index number is a number which is raised to a power. The power, also known as the index, tells you how many times you have to multiply the number by itself. For example, 2^{5} means that you have to multiply 2 by itself five times = 2×2×2×2×2 = 32.
There are a number of important rules of index numbers:
 y^{a} × y^{b} = y^{a+b}
Examples
2^{4} × 2^{8} = 2^{12}
5^{4} × 5^{2} = 5^{2}

y^{a} ÷ y^{b}= y^{ab}
Examples
3^{9} ÷ 3^{4} = 3^{5}
7^{2} ÷ 7^{5} = 7^{3}

y ^{b} = 1/y^{b}
Examples
2^{3} = 1/2^{3} = 1/8
3^{1} = 1/3

y^{m/n} = (^{n}√y)^{m}
Examples
16^{1/2} = √16 = 4
8^{2/3} = (^{3}√8)^{2} = 4

(y^{n})^{m} = y^{nm}
Example
2^{5} + 8^{4}
= 2^{5} + (2^{3})^{4}
= 2^{5} + 2^{12}

y^{0} = 1
Example
5^{0} = 1