3.1 -3.4 Quiz Review

Rewriting and evaluating

100

Change to radical form. 

x^3/2

root2(x^3)

200

Change to exponential form.

root5(x^3)

x^(3/5)

300

Evaluate. 

64^1/2

8

400

Riddle: A is the brother of B. B is the brother of C. C is the father of D. So how is D related to A?

A is D's Uncle

500

Simplify.

x^(1/4)*x^(2/9)

x^(17/36)

Exponent Properties

100

Simplify.

m^4*n^(-3)*2m^6

(2m^10)/n^3

200

Simplify.

(x^3y^-2z^-5)^-2

(y^4z^10)/x^6

300

2x^-4*4x^8*y^-5

Simplify. 

(8x^4)/(y^5)

400

^Simplify. 

(2x^3x^6y^-9)/(4y^2x^-2)

(x^11)/(2y^11)

500

Simplify 

(x^-1y^-4z^2*2y^2z^-1)/((y^3z^-2)^-4)

(2y^10)/(xz^7)

Solving Exponential Functions

100

5^2x-7=5^7x+13

x=-4

200

36^x=6^-2x

x=0

300

Riddle: I have keys, but no locks. Space with no rooms. You can enter, but you can’t go outside. What am I?

A Keyboard

400

16^2x=4^10x+28

-14/3

500

Solve. 

(1/81)^(3x+2)=27^(2x-1)

x=-5/18