Use properties of exponents to simplify the following expressions.
f.
g.
i.
k.
h.
(51/3
x1/4)3 =
=
121/8
125/6 =
j.
(26
l.
46)-1/6 =
RATIONAL EXPONENTS
QUESTION:
What is the square root of a number?
Determine what number fits into the
.
a.
5 i 5 =
5 is the _____________ of 25
b.
10 i 10 =
10 is the _____________ of 100
c.
x i x =
_____ is the square root of ______
d.
x3 i x3 =
_____ is the square root of ______
e.
x9 i x9 =
_____ is the square root of ______
QUESTION:
x
What does the square root of x mean?
ix
= x1
is the square root of x.
RULE: __________________________
FRACTIONAL EXPONENT RULE:
For any real number a and integers n and m: _____________________________
Examples:
a. 161/2 =
=4
c. (-8)1/3 =
b. 271/3 =
d. (16)1/4 =
= -2
= 3
=2
RATIONAL EXPONENTS
Exponent (numerator)
x1/2
Base (x)
Root (denominator)
Exponential
Notation
Radical
Notation
x1/2
x2/3
x3/4
RADICALS
am/n
Index
a-m/n
Radicand