6.4 Rational Exponents
Name: ___________________
Objectives: Students will be able to simplify expressions with
rational exponents.
Let's review.
Simplify.
1.) x2x3
2.) (22)3
3.) (x2y3)2
4.) 34
32
5.) 2-3
Jan 16­2:14 PM
Rational Exponents
*Think: FLOWER POWER!
The flower is the power,
the root is in the ground.
am/n = ( n√a )
m
n
m
Examples: Rewrite in radical notation and evaluate.
1.) 161/4
2.) 161/2
3.) 82/3
4.) 36-3/2
Jan 16­2:27 PM
1
Rewrite in radical form.
1.) x1/6
2.) t-3/4
3.) y1.2
Simplify each expression.
4.) 101/2101/2
5.) (-3)1/3(-3)1/3(-3)1/3
6.) 31/391/3
Rewrite each expression in exponential form.
7.) √(7x)3
8.) (∛a)2
9.) (√7x)3
Jan 16­2:27 PM
Simplify.
1.) (-8)2/3
2.) (x2/3)-3
4.) (-27x-9)1/3
5.)
x2
x-11
1/3
3.) (3x3/2)-1
6.)
81y16
16x12
1/2
Jan 17­7:55 AM
2