AoPS Ch 2 Exponents Flashcards
0
Q
a^(-n) =
A
1/(a^n)
1
Q
a^0 =
A
1
2
Q
The expression a^n is called a
A
power
3
Q
In the expression a^n, a is the
A
base.
4
Q
In the expression a^n, n is the
A
exponent.
5
Q
Product of powers (same base):
(a^m)(a^n) =
A
a^(m+n)
6
Q
Product of powers (same exponent): What is this rule?
A
(a^n)(b^n) = (ab)^n
7
Q
Quotient of powers (same base): What is this rule?
A
(a^m)/(a^n) = a^(m-n)
8
Q
Quotient of powers (same exponent): What is this rule?
A
(a^n)/(b^n) = (a/b)^n
9
Q
Power of power: What is this rule?
A
(a^m)^n = a^(mn)
10
Q
Power of reciprocal: What is this rule?
A
(1/a)^n = 1/(a^n)
11
Q
Negation in exponent: What is this rule?
A
a^(-n) = 1/(a^n)
12
Q
Power of negation: What is this rule? Does it matter if the exponent is odd or even?
A
If n is even, then (-a)^n = a^n
If n is odd, then (-a)^n = -a^n
