Rational Exponents
Section 4.4
Pages 256-264
Warm up. Why do we need this lesson?
1
4
Without using your calculator evaluate 16
1
(
4
is an exponent).
Page 256
Not in
book
Convert to radicals.
Note: you may want to change to radical form only if the root is the same. Remember,
you can only multiply radicals together if they have the same root.
Page 256
Page 257
Not in
book
Notes: Change decimals to fractions.
Move numbers with negative exponents.
Page 257
Page 259
Not in
book
Note: We know we can’t combine radicals with different roots. The way to get around this is
when you have 2 different roots change to exponential form so you can combine them.
Page 259
Note: When you simplify a problem that starts in radical form you should have an answer
in radical form
Not in
book
Remember, you can’t have a negative exponent in your final answer.
page260
Note: Changing a number like 16 to 24 will make some problems easier.
Not in
book
Extra Practice:
1
𝑦3
5
𝑦 12
2
3
3
5
2 ·2 =
=
Landing our Big Ideas:
Exponent Rules: When an exponent is a fraction it follows the same
rules we learned for integer exponents.
Assignment 4.4:
pg. 258 – 264
# 3 – 6, 14 – 20, 36 – 39
Additional 4.4 Problems: #1-4