Properties of Exponents Jeopardy

Basics

100

What is the value of: 3 · 3⁵

3^{6 or 729}

200

Simplify using Properties of Exponents: 2¹² / 2⁸

2⁴

300

Simplify using Properties of Exponents: (5³)⁵

5¹⁵

400

Simplify using Properties of Exponents: (c²⁵ /c¹³)^1/3

c⁴

500

Simplify using Properties of Exponents: 5y⁵(y³z^-2)^-7

5z¹⁴/y^{16        all over y^16}

Roots and Radicals

100

Rewrite as a radical in simplest form.   x^2/3

cube root of (x²)

200

rewrite as a exponent in simplest form.  4th root (y⁸)

y²

300

simplify fully in radical form. (72)^1/2

6 sqrt(2)

400

Answer in simplest radical form.  4(54x⁹y³z⁶)^1/3

12x³yz²cbrt(2)

500

Question in slide show. Roots and radicals for 500

9

Inverse

100

f(x)=x+1 what is  f^-1(x)=

f^-1(x)=x-1

200

f(x)=2x+4 what is  f^-1(x)=

 f^-1(x)=(x-4)/2         -all over 2

300

 f^-1(x)=(2x+3)^1/3 , find f(x) =

f(x)=(x³-3)/2

400

f(x)={(2,3), (5,7), (3,-5), (7,-14)}  

find f(7)+ f^-1(7)-3*f^-1(3) = 

=-14+5-3(2)

= -15

500

Question in slide show. Solving for 500.

f^-1(x)=(-2x+7) / (5x+5)

Solving equations

100

x^1/2=7 , solve for x

x=49

200

solve for x,       

sqrt(x-6)=10

x=106

300

Solve for x,   sqrt(3x+105)+6=15

x=-8

400

sqrt(42-6x)=x-7

x=7     (and only 7)

500

Question on slides. Solving equations for 500

x=4/3

Random Ransom

100

What trig function is csc(x) equivalent to? (exactly)

1/sin(x)

200

What country houses the largest population of orangutans? 

Indonesia

300

Who directed the movie Pulp Fiction?

Quentin Tarantino 

400

What is the exact value for pi in any circle?

circumference over diameter

C /d

500

Why do we have to check our answers when solving for radical functions?   Hint: two words

Irreversible operation