The operation of addition and subtraction can be performed on terms with similar variable. Add or subtract the coefficients on similar variable

Example:

$10x^2+5x-3x^2+4x$

$10x^2-3x^2+5x+4x$

$(10-3)x^2+(5+4)x$

$7x^2+9x$

Exponent

The exponent (such as the 2 in $x^2$) says how many times to use the value in a multiplication

Example:

$2^5=2\times 2\times 2\times 2\times 2=32$

$a^{2}b=a\times a\times b$

$a^3{b}^2=a\times a\times a\times b\times b$

The Law on Indices

$$\begin{array}{ccccc}\text{No}& & \text{indices}& & \text{General Form}\\ \\ 1& & a^m\times a^n& & a^{m+n}\\ \\ 2& & {\displaystyle \frac{a^m}{a^n}}& & a^{m-n}\\ \\ 3& & (a^m{)}^n& & a^{m\times n}\\ \\ 4& & (a\times b{)}^n& & a^n\times b^n\\ \\ 5& & {\left({\displaystyle \frac{a}{b}}\right)}^n& & {\displaystyle \frac{a^n}{b^n}}\\ \\ 6& & a^{-n}& & {\displaystyle \frac{1}{a^n}}\\ \end{array}$$