Exponent Review

Solve/Simplify

100

                              a⁷ x a³⁰

What is a³⁷

add the exponents 

200

(b²)³

What is b⁶

^{multiply the exponents}

300

c⁴ x c^{5 /} d⁸ x d²⁰

What is c⁹/d²⁸

adding exponents

400

2² x 2³ / 4⁰

What is 32.

add exponents, simplify, then divide

500

e⁴ x (e³)⁵ x e⁶  / e² x (e²)²⁰

What is 1/e¹⁷

multiply exponents, then add when done to top and bottom then subtract exponents. 

square and cube roots

100

A square has an area or 49ft²  what is the length of each side?

what is 7ft 

200

QUESTION 1 ON SLIDES

1. 36

2. 27

3. 64 or 1

4. 25 or 64

300

QUESTION 2 ON SLIDES

1. 96ft 

2. 13ft 

400

QUESTION 3 ON SLIDES

A. answer on board

B. 13, -6, 9/11, 0.8

500

QUESTION 4 ON SLIDES

1. 10 desks in the first two rows.

2. 36 in. of boarder left to complete. 

Find x

100

1.  2^x x 2³ = 32 

2.  (9¹)^x = 1/729

1. x= 2

2. x= -3

200

QUESTION 5 ON SLIDES

1. x=5 not -5 

2. x=1

300

1. (8²)^x  x 8^-10 = 1/64

2. (5³)²/5^x = 1/125 

3. what is x when the cube root is equal to 2. (see board)

1. x=4 

2. x=9

3. x=8

400

1. 5^x x 5³ / (5^x)⁴ = 1/125

2. a⁴b^-2a⁹b^-5 = ?

3. what is x when the cube root is equal to 7. (see board)

1. x=2

2. a¹³ 1/b⁷

3. x=169

500

QUESTION 6 ON SLIDES

1. x=216

2. x=27

3. 6y⁴

4. 16y⁴

5. 40y⁴

True/False

100

y¹²/y^-2 = y^-7 x y²

include what each side is equal to in your answer!

what is FALSE 

y¹⁴ and y^-5

200

(y⁶)^-3 = 1/y⁹ x y⁹

^{include what each side is equal to in your answer!}

what is TRUE

both sides = 1/y¹⁸

300

3⁵/3²=81 when x=3

if false find x

what is FALSE 

x must equal 2 for the equation to be true

400

(2²)³/2¹² =(1/2)⁶

include what each side is equal to in your answer!

what is TRUE 

both sides = 1/64 

500

5² x 5³ x 5^-4 x 5⁷ / (5²)⁴ x 5² x 5⁴  = 1/125²

what is TRUE

both sides = 1/15625