M2 Unit 2 Review

Exponents

100

Simplify

(-2x^2y^-2)^3

-8x^6/y^6

200

Simplify 

((-5)^3a^-2b^3)^-2

a^4/((-5)^6b^6)

300

Simplify

(4^-4x^4y^-3)/(4^-6x^-2y^7)

16x^6/y^10

400

Simplify

(2x^-2)^3/y^5*(y^-3x^2)^2/x^-2

8/y^11

Roots, Eq, & Eval. Exp

100

Solve 

x^2=1/4

+-1/2

200

Solve 

sqrt(x)=4.3

x=18.49

300

Evaluate the expression when a = -3 and b = 2

a^2/3+b^3/b^-2+a^2

44

400

Simplify 

3 sqrt(180)

18 sqrt(5)

Sci. N x & ÷

100

(5.7xx10^4)(8.6xx10^5)

4.902xx10^10

200

(6.4xx10^-3)(3.9xx10^-7)

2.496xx10^-9

300

(9.8xx10^5)/(2.8xx10^-2)

3.5xx10^7

400

(1.6xx10^-4)/(8xx10^-10)

2xx10^5

Sci. N + & -

100

(1.53xx10^5)-(8.6xx10^4)

6.7xx10^4

200

(3.68xx10^-6)-(1.97xx10^-8)

3.6603xx10^-6

300

(1.91xx10^-5)+(9xx10^-6)

2.81xx10^-5

400

(3xx10^-7)-(6.3xx10^-8)

2.37xx10^-7

Sci N. WP

100

A TV show had 3.5 × 10⁶ viewers for their first episode and 8.5 × 10⁶ viewers for their second episode.  How many viewers did they have overall?

1.2 x 10⁷

200

The population of Crowded Town is 4 × 10⁶ and the population of Empty Village is 8 × 10³.  How many times the population of Empty Village is Crowded Town?

5 x 10²

300

NYC’s population is about 8.1 × 10⁶ and LA’s population is about 3.8 × 10⁶.  What is the population of these two cities combined?

1.19 x 10⁷

400

An airplane traveled 5.7 × 10² miles per hour for 1.4 × 10¹ hours.  How far did the airplane travel?

7.98 x 10³