Exponent Exam Review

Product Rule/Power Rule

100

Simplify:  a⁷Ÿ ^. a⁴

a¹¹

200

Simplify (3⁴)⁵

3²⁰ 

300

Simplify 4m⁷n^{2  .  Ÿ}7m⁵n³

28m¹²n⁵

400

What is (t^3 . t²)⁴ written in simplified form?

t²⁰

500

Simplify:  (b²)⁴Ÿ ^. b

b⁹

Quotient Rule

100

5⁸ / 5³

5⁵

200

^{x4 / x-6}

x¹⁰

300

-18x⁷ / 3x⁴

-6x³

400

Simplify 

x^{9 .} x  /  x⁴

x⁶

500

Simplify:   

5^{2 .} 5^6 . 5^3.    /    5^4 . 5 ^. 5³

5³

Negative Exponent/ Zero Power Rule

100

2⁰

1

200

Simplify:   y² / y⁶

1/ y⁴

300

x^3 . x ^. x⁰ 

x⁴

400

Simplify 3^-4

1/3⁴

500

Simplify: (2/5)^-3

125/8

Random

100

Which of the following is irrational:

a) .15 repeating

b) -6

c) 1/5

d) square root of 17

d

200

-4.5 can be classified as 

a) integer

b) rational

c)irrational

d) Whole

b) rational

300

Re-write in exponential notation

4 ^. 4 ^. 4 ^. 4 ^. 4 ^. a ^. a ^. a ^. b ^. b

4⁵a³b²

400

In Oneonta, NY the temperature at 2pm was 8 degrees F. By 10pm the temperature dropped 11 degrees F. What was the new temperature at 10pm?

-3 degrees F. 

500

Simplify using the Laws of exponents:

(3²)⁴Ÿ ^. (3^-2)^-4Ÿ ^. (3^-2)⁴

3⁸