Module 8 Review

Rules of Exponents

100

(-2u²)(6u⁶)

-12u⁸

200

p¹²t³r/p²tr

p¹⁰t²

300

h³/h^-6

h⁹

400

15x⁶y^-9/5xy^-11

3x⁵y²

500

(-3x^-6y^-1z^-2/6x^-2yz^-5)^-2

4x⁸y⁴/z⁶

Rational Exponents

100

Write the expression in radical form.

24^1/2

√24

200

Write the expression in radical form.

m^2/3

³√m²

300

Evaluate: ⁵√3125

5

400

Write the expression in radical form.

k^-1/2

1/√k

500

The relationship between the mass m in kilograms of an organism and the metabolism P in Calories per day can be represented by P=73.3 ⁴√m³. Find the metabolism of an organism that has a mass of 16 kilograms.

586.4 Calories per day

Simplifying Radical Expressions

100

Simplify: √56

2√14

200

Simplify: 8xy²z⁵/2yz³

4xyz²

300

Simplify √169a³bc³

13ac√abc

400

Simplify: √w¹³x⁵z⁸

w⁶x²z⁴√wx

500

The distance, d, in miles that a person can see to the horizon can be modeled by the formula d=√3h/2 where h is the person's height above sea level in feet. How far, in miles, to the horizon can a person see if they are 60 feet above sea level? Write you answer in simplified radical form.

3√10 miles

Exponential Equations

100

What is the solution to 25^x-3=5⁴ ?

5

200

Solve for x:

2^5x-4 = 64

2

300

Solve for x:

81^2x-3=9^x+3

3

400

Solve for x: 

2^4x=32^x+1

-5

500

3^3x+3=6561

5/3

Mixed

100

Simplify: (-5/6)⁰

1

200

Simplify: 4/h^-4

4h⁴

300

What is 542 billion in scientific notation?

5.42 x 10¹¹

400

The velocity of an object dropped from a tall building is given by the formula v=√64d, where d is the distance the object is dropped. What distance was the object dropped from if it has a velocity of 49 feet per second? Round your answer to the nearest hundredth.

37.52 ft

500

What is the third planet from the sun?

Earth