Exponents and Real Numbers

Rational Exponents

100

Rewrite using exponents

root(4)(10

10^(1/4

200

Simplify the expression 

128^1/7

2

300

Simplify the expression.

125^2/3

25

400

Simplify the expression 

25^1/2 x 16^1/4

10

500

Use the equation t = 1/2 cdot d^(1/2) where t is seconds and d is distance in feet. How long does it take for an object to fall 196 feet.

7 seconds

Real Numbers

100

List all sets -29 belongs to.

Integer, Rational, Real

200

List all sets that 5/3 belongs to.

Rational, Real

300

List all sets that 4pi belongs to.

Irrational, Real

400

List all sets that root(3)27 belongs to.

Whole, Integer, Rational, Real

500

Which set only includes Whole Numbers

A  {4/4, 15, sqrt(36)} 

B {-4, 0, sqrt(49)} 

C { 0, pi, 14} 

Choice A

Properties of Exponets&Rational Exponents

100

Rewrite  8^-1 .

1/8 or 1/8^1

200

Simplify 8^15/8^13. Remember to solve.

64

300

Simplify 100^(1/2) + 125^(1/3).

15

400

Simplify  729^(1/3).

9

500

Determine which sets  root(3)25 belongs to.

Whole

Irrational

Rational

Irrational

Sets of Numbers

100

True or False. Whole numbers are closed under addition.

True. 

4+4=8

200

True or False. Integers are closed under multiplication.

True. 

-3cdot-4=12

300

True of False. Irrational Numbers are closed under addition.

False. Ex: 

pi-pi=0

400

Determine whether the set is closed under division  { -1, 1} .

Closed

500

Determine whether the set is closed under subtraction. {-1, 1} 

Not Closed