Exponents Jeopardy

Exponents Rules

100

True or False :  When multiplying exponents you are adding the bases (big numbers)

False:  When you multiply exponents you are adding the exponents:

Ex: 3² x 3² = 3⁴

200

True or False:  You can have a negative exponent in the denominator

Ex:  1 / 5^-3

False: You can not have a negative exponent in the denominator (it must be positive)

Ex: 5^-3  =  1 / 5³

300

True or False : When dividing exponents you are subtracting the exponents.

Example : 20¹⁵ / 20¹⁰

True : When dividing exponents you are subtracting the exponents.

Example: 20¹⁵ / 20¹⁰ = 20^15-10 or 20⁵

400

True or False: 8³ x 8⁵ is greater than 8¹⁵

False: When you multiply exponents you add the exponents.

Ex: 8³ x 8^{5 =} 8³⁺⁵ = 8⁸

8⁸ is less than 8¹⁵

500

True of False : When raising one exponent to another exponent; you are multiplying the exponents

Ex:  (5²)¹⁰

True : When raising exponents you are multiplying the exponents and keeping the same base

Ex: (5²)¹⁰ = 5²⁰

Exponents Raised

100

(2⁵)¹ =

2⁵

200

(4³)³ = 

4⁹

300

(7⁹)¹² = 

7¹⁰⁸

400

(1¹)⁰ = 

1

500

(100^-4)⁶

100^-24

Exponents Division

100

10³ / 10³

1

200

12¹⁰ / 12⁷

10³

300

10⁴ / 10^-2

10⁶

400

(10⁵ / 10³)⁴

10⁸

500

10⁴ x 10⁵ x 10⁶

^{----------------------}

   10³ x 10⁷

10¹⁵ / 10¹⁰ = 10⁵

Exponents Mult.

100

10³ x 10³ = 

10⁶

200

5 x 5⁴ =

5⁵

300

7² x 7⁰ = 

7²

400

2⁴ x 2³ x 2^-3 =

2⁴

500

2^-5 x 2⁵ =

2⁰

Exponents Problems

100

(1.5 x 10²⁾  (5 x 10¹⁰) =

7.5 x 10¹²

200

(4.8 x 10^-8) / (3 x 10^-3) = 

1.6 x 10^-5

300

(5 x 10⁸) (4 x 10³) =

2 x 10¹²

400

(7.2 x 10³⁾ / (1.2 x 10⁵) = 

6 x 10^-2

500

The average distance from the sun to another galaxy is 1.2 x 10^19.  Light travels at a speed of 5.88 x 10¹² (light years). How long will it take (in years) for light to travel from the sun to this galaxy?

1.2 x 10¹⁹ / 5.88 x 10¹² = 2.04 x 10¹²