laws of indices

Powers are sometimes referred to as indices.

Multiplying by indices is simple. The rule is to add the indices.

For example:

   2³ × 2⁴
= (2 × 2 × 2) × (2 × 2 × 2 × 2)
= 2³⁺⁴
= 2⁷

Dividing by indices is also simple. The rule is to subtract the indices.

For example:

    2⁵ ÷ 2²
= (2 × 2 × 2 × 2 × 2)/(2 × 2 )
= 2^5-2
= 2³