Grade 9 Rational-Exponents-powerpoint-1.ppt

Grade 9 Rational Exponents

1. 5.7 Rational Exponents5.7 Rational Exponents
Fraction ExponentsFraction Exponents

2. Radical expression and Exponents
By definition of Radical Expression.
The index of the Radical is 3.
51251255
33
 so

3. How would we simplify this
expression?
What does the fraction exponent do to the
number?
The number can be written as a Radical
expression, with an index of the
denominator.
2
1
9

2
9

4. The Rule for Rational Exponents

46464
33
1
1


nn
bb

5. Write in Radical form



2
1
6
1
m
a

6. Write in Radical form

mm
aa


2
1
66
1

7. Write each Radical using Rational
Exponents



w
b
5

8. Write each Radical using Rational
Exponents

2
1
5
1
5
ww
bb



9. What about Negative exponents
Negative exponents make inverses.
7
1
49
1
49
2
1
2
1



10. What if the numerator is not 1
Evaluate
5 25
2
3232

11. What if the numerator is not 1
Evaluate

5105
2
5
5 25
2
22
3232



12. What if the numerator is not 1
Evaluate

42
22
3232
2
5105
2
5
5 25
2




13. For any nonzero real number b,
and integer m and n
Make sure the Radical express is real, no
b<0 when n is even.

m
nnmn
m
borbb

14. Simplify each expression
No fraction in the denominators.

3
2
7
4
7
1


x
yy

15. Simplify

3
1
6
1
3
6
2
16
2
16


16. Simplify

3
1
6
4
3
1
6
1
4
3
1
6
1
3
6
2
2
2
)2(
2
16
2
16



17. Simplify

33
1
3
1
3
2
3
1
3
2
3
1
6
4
3
1
6
1
4
3
1
6
1
3
6
2222
2
2
2
2
2
)2(
2
16
2
16




18. Simplify

6 4
4x

19. Simplify

6
4
6
1
6 4
44 xx

20. Simplify


6
4
6
1
2
6
4
6
1
6 4
2
44
x
xx



21. Simplify


6
4
6
2
6
4
6
1
2
6
4
6
1
6 4
2
2
44
x
x
xx




22. Simplify


3
2
3
1
6
4
6
2
6
4
6
1
2
6
4
6
1
6 4
22
2
44
xx
x
xx




23. Simplify



3 2
3
1
2
3
2
3
1
6
4
6
2
6
4
6
1
2
6
4
6
1
6 4
22
22
2
44
xx
xx
x
xx



