Laws of Exponents

Let's first see what exponents are

In 2 ⁵ ,

2 is the base

5 is the exponent (or index)

Let's study the law of indices 

• √a = a ^1/2

• ∛a = a ^1/3

• ⁿ √a = a ^1/n

• a ^p.  a ^q = a ^{p + q}
• a ^p / a ^q  = a ^{p - q}
• a ^p.  b ^p = (ab) ^p
• (a ^p ) ^q.  = a ^pq
• a ^{0 .}  = 1
• a ^–n.  = 1/a ⁿ

Exponent law with examples

Click next for more questions on exponents. You can also check Algebra Formulas