Properties and Theorems CHARTS & TABLES
Properties and Theorems CHARTS & TABLES
Properties and Theorems (continued)
Multiplicative Property of –1
a×–1 = –a
and
–1 ×a= –a
nth Root of nth Power Theorem
For all real numbers x,and all integers n≥2,
If nis odd, then
n√–xn=x
and
if nis ev en, then
n√–xn=|x|
Neg ative Exponent Theorem
If ×> 0, then
x–n= 1/xn
and
1/x–n=xn
Number of Subsets of a Set
2 n
n= number of elements in a set
Opposite of an Opposite Property (Op-Op Property)
–(–a) =a
Opposite of a Sum Property
–(a+b) = –a+ –b
Perfect Square Trinomial
x^2 + 2hx+h^2
Point Slope Theorem
y–y 1 =m(x–x 1 )
Power of a Fraction
(a/b)n=an/bn
Power of a Power Property
(am)n=amn
Power of a Product Property
(ab)m=ambm
(continues)