x ^a x ^b = x ^{(a + b)}

x ^a / x ^b = x ^{(a - b)}

(x/y) ^a = x^a / y^a

(xy) ^a = x ^a y ^a

(x ^a ) ^b = x ^(ab)

x ^(1/b) = b^th root of x

x ^(a/b) = (b^th root of x) ^a

x ^(-a) = 1 / x ^a

x ⁽⁰⁾ = 1
  __
_\/ x = x ^1/2
    __
ⁿ_\/ x = x ^1/n

(2 ³)(2 ⁴) = 2 ³⁺⁴ = 2 ⁷ = 128

2 ⁷ / 2 ³ = 2 ^7-3 = 2 ⁴ = 16

(3/4) ² = 3² / 4² = 9/16

(2y) ³ = 2 ³ y ³ = 8y ³

(2 ³ ) ² = 2 ^3*2 = 2 ⁶ = 64

8 ^(1/3) = 3^rd root of 8 = 2

8 ^(2/3) = (3^rd root of 8) ² = 4

3 ^(-2) = 1 / 3 ² = 1/9

5 ⁽⁰⁾ = 1
    __
²_\/ 9 = 9 ^1/2 = 3
    __
³_\/ 8 = 8 ^1/3 = 2