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exponent rules

Exponent Rules

Algebra rules and formulas for exponents are listed below.

 

Definitions

1. an = a·a·a···a  (n times)

2. a0 = 1  (a ≠ 0)

3.   (a ≠ 0)

4.   (a ≥ 0, m ≥ 0, n > 0)

 

Combining

1. multiplication: axay = ax + y

2. division:   (a ≠ 0)

3. powers: (ax)y = axy

 

Distributing   (a ≥ 0, b ≥ 0)

1. (ab)x = axbx

2.   (b ≠ 0)

 

Careful!!

1. (a + b)nan + bn

2. (ab)nan– bn

 

See also

Root formulas, nth root

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