$$a^2=a×a$$
$$a^1=a$$
$$a^0=1$$
$$a^{−1}=1/a$$
$$a^{−n}=1/{a^n}$$
$$a^m×a^n=a^m a^n=a^{(m+n)}$$
$${a^m}/{a^n}=a^{m−n}$$
$$(a^m)^n=a^{(m×n)}$$
$$a^{1/n}=√^{n}a$$
$$√^n{a}√^n{b} = √^n{ab}$$
$$√{ab} = √a×√b$$
$$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2$$
$$(a−b)^2=(a−b)(a−b)=a^2−2ab+b^2$$
$$a^2−b^2=(a+b)(a−b)$$
$$(a+b)^3=a^3+3a^2b+3ab^2+b^3$$
$$(a−b)^3=a^3−3a^2b+3ab^2−b^3$$
