x¹=x

1^m=1

Examples: 3¹=3

                1²=1

x^n . x^m=x^n+m

Example: 2^2 . 2³=2⁵

xⁿ/x^m=x^n-m (x is not equal to 0)

Example: 2³/2²=2

x⁰=1 (x not equal to 0)

Examples: 30⁰=1

                (-20)⁰=1

                -27⁰=-1

x^-n=1/xⁿ (x is not equal to 0)

Example: 4^-2=1/4²

(xⁿ)^m=x^nm

(xy)ⁿ=xⁿyⁿ

(x/y)ⁿ=xⁿ/yⁿ (y is not equal to 0)

Examples: (2²)³=2⁶

              (3x)²=3²x²

              (5/2)³=5³/2³

1/x^-n=xⁿ (x is not equal to 0)

x^-n/y^-m=y^m/xⁿ (x,y are not equal to 0)

(x/y)^-n=(y/x)ⁿ (x,y are not equal to 0)

Examples: 1/x^-2=x²

               x^-2/y^-3=y³/x²

               (x/y)^-2=(y/x)² 

^m√(xⁿ) =x^n/m

Example: ³√(2⁶) = 2^6/3=2²=4

x ^.10ⁿ where 1≤  | x |< 10, and n is an integer 

Example: 436,000

              Scientific notation= 4.36 ^.10⁵

3.2 ^.10^-2

Standard notation= 0.032

Combine like terms 

Example: 6x⁵+4x³-(3x⁴-5x³+2x²)=6x⁵-3x⁴+9x³-2x²