x, and y is called the pth root
of x
xp
Laws
xp.xq = x(p+q)
xp/xq = x(p-q)
x0 = 1 (if x ¹ 0)
x-p = 1/xp (if x ¹ 0 and p > 1)
(xy)p = xpyp
(xp)q = xpq
Exercises
Simplify by removing the negative and zero exponents
3x-5
(3x)
-2
2x
0
3x
-1/(x-1-2y-1)
(x
-1-y-1)/(x-2-y-2)
4x
-5y0
(3x)
0y-3
Radicals
x, and y is called the pth root
of x
xp
Exercises
Determine the numerical values
251/2
27
-1/3
16
-5/2
5
1/2.55/2
(2
6)2/3
(3
-5)-2/5
Simplify by removing the negative and zero exponents
(9a-2b6)1/2
(2x
1/3y5/6)6
((64a
-3b4/3)/(27a-9b-14/3))2/3
Laws
Complex Number
Complex Number i is the square root of -1
Ö -1 = i
Example
Ö
-4 = Ö(4 ´ -1) = 2i
Rationalizing Denominators
Ö
a/b = Ö ab/b2 = (Ö ab)/b
Exercises
Simplify the following
