Term 3 Week 3

More Indices

The new shortcuts this week are:

A power divided by a power:

a^m / aⁿ = a<sup>m-n

example</sup>
2⁵ / 2² = 2^5-2= 2³

A power to a Power:

(a^m)ⁿ = a^{m x n
example:}
(5²)⁴ = 5^2x4 = 5⁸

Powers of products and quotients

(ab)ⁿ = aⁿb^n
example:
(2b)³ = 2³b³

(a/b)ⁿ = aⁿ/b^n
example:
(3/7)⁵ = 3⁵/7⁵

Class 9 is on camp for the next two weeks - enjoy, and leave the maths until you get back!

Here is the Indices 2 Assignment