Pre Algebra (Period 2 & 4)

EXPONENTS 4-7 & 4-8

MULTIPLYING Powers with LIKE BASES:
Simply ADD THE POWERS

WITH VARIABLES:
m⁵m³ = m⁸
You can check this by EXPANDING:
(mmmmm)(mmm) = m⁸

WITH NUMBERS:
(2⁵)(2³) = 2⁸


DIVIDING Powers with LIKE BASES:
Simply SUBTRACT the POWERS
m⁸ = m³
m⁵
Again, you can check this by EXPANDING:
mmmmmmmm
mmmmm

ZERO POWERS:
Anything to the zero power = 1
(except zero to the zero power is undefined or indeterminate)
Proof of this was given in class:
1 =
mmmmmmmm
mmmmmmmm

=
m⁸ = m^8-8 m⁰ (by power rules for division)
m⁸

: 1 = m⁰

By the transitive property of equality