1. Algebra 2
6.1 Exponents
an a is the __________________
n is the __________________
Properties of Exponents:
• When multiplying the same base, __________ the exponents. a n ⋅ αµ = αν + µ
an
• When dividing the same base, _____________ the exponents. m
= αν − µ
a
ν⋅ µ
• When raising a power to a power, _____________ the exponents. (a ) = α
n m
• When raising a _______________ to a power, raise all factors to the power.
(ab)n = ανβν
• For a negative exponent, move the expression to the _____________________.
1
a− ν = ν , α ≠ 0
α
• When raising a _________________ to a power, raise all divisors to the power.
ν
 a αν
  = ν
 b β
Examples: Simplify the expressions.
2
 r  (xy 2 )2
a)  −5  b) (7b −3 )2 β5β c)
s  x 3 y −1
HW p. 326 (32 – 46 even)