Index Laws 4,5 & Zero Power

Index Laws 4,5 & Zero Power

learning how to use index law 4, 5 and the zero law.

Index Law 4

• When multiplying 2 or more numbers raised to the power of ’x’

• raise each number in the brackets to the power

Examples

(a X b)ⁿ = (ab)ⁿ = aⁿ bⁿ

(2x)² = 2² x² = 4x²

Index Law 5

• When dividing 2 numbers raised to the power of ‘m’

• Raise each each number number in the brackets or the power of 5

• Same rules apply with index

Examples

(a/b)^m = a^m/b^m

(y/2)⁴ = y⁴/2⁴ = y⁴/16

Zero power

• Any number, except zero, that is raised to Zero will equal 1

Examples

a⁰ = 1

181⁰ = 1

2a⁰ = 2 x 1 =2

(2a)⁰ = 2⁰ x a⁰ = 1