A review of rationalizing the denominator. Then lesson on rational exponents, writing radical from exponent form, writing exponent form from radical form, and evaluating.
6. Lesson 3 1st March 10, 2014
PullPull
b
1
2
b=Therefore, we can define
Rational Exponents
Squaring a number and taking the square root are
inverse operations.
(x 3)=6
2
+ (b ) =(b)
21
2
1
2( )( )1
2
=b
1
=b
1
(b )
21
2
( b )
2
=b
1
(b )
21
2
( b )
2
=
So . . . if
and
then
PullPull
(x 3)= 6
2
+ ±
PullPull
x 3 = 6±
+
PullPull
x = -3 6±
7. Lesson 3 1st March 10, 2014
** For any real number, b and for any positive integer, n,
b = b
n
1
n
Write each expression in radical form:
1) a =
1
4
3
y
2) x =
1
5
Write expression using rational exponents:
3)
8
4) n