FRACTIONAL EXPONENTS!

Fractional Exponents

100

Write using fractional exponents:

root(4)22

22^(1/4)

200

Write using fractional exponents:

(root(3)13)^2

13^(2/3)

300

Write using fractional exponents:

1/sqrt(17^5)

17^(-5/2)

400

Write using fractional exponents:

root(2)((root(7)11)^9)

11^(9/14)

500

Explain why a "1st root" isn't written using a radical.

A "1st root" would just be x, or

x^(1/1) 

Radical Expressions

100

Write using radicals:

5^(1/3)

root(3)(5)

200

Write using radicals:

10^(2/5)

root(5)(10^2)

300

Write using radicals:

2^(-5/9)

1/root(9)2^5

400

Write using radicals:

(5^(2/3))^(3/7)

root(7)(5^2)

500

What algebraic property says that 

root(3)(5^2)=root(3)5^2

Commutative property

Evaluating Expressions

100

Evaluate:

root(4)(625)^3

125

200

Evaluate:

root(2)(100)^6

1000000

300

Evaluate:

4096^(5/4)

32768

400

Evaluate:

125^(1/3)root(6)(729)^2

45

500

root(8)(6561)

3