Properties of Exponents/Scientific Notation

Negative Exponents

100

2^-2

1/4

200

6^-2

1/36

300

3^-3

1/27

400

8^-5

1/32,768

500

10^-10

1/10,000,000,000

Quotient of Powers

100

2⁸ / 2⁶ = ?

2⁴

200

6⁹ / 6² = ?

6⁷

300

9³⁴/9²⁰

9¹⁴

400

32¹²/32⁹

32³

500

X²³/X¹²

X¹¹

Scientific Notation OR Standard Form

100

Write this number in standard form:

3.405 x 10⁵

340,500

200

Write this number in Scientific Notation:

324,500,000

3.245 x 10⁸

300

Write this number in Scientific Notation:

89,000

8.9 x 10⁴

400

Write this number in standard form:

3.45 x 10^-5

.0000345

500

Write this number in Scientific Notation:

.0000065

6.5 x 10^-6 

Same Base but different exponents OR Different Base but same exponents

100

3² x 3⁵ =? 

3⁷

200

2³ x 3³ = ?

6³

300

4³ x 4⁶ = ?

4⁹

400

7² x 8² = ?

56²

500

9² x 9^-10 = ?

9^-8

Powers of Products OR Powers to a Power

100

(5 x 2)⁴

10⁴

200

(6 x 5)^-1

30^-1

300

(6⁵)⁴= ?

6²⁰

400

(4 x 3)⁴

12⁴

500

(6⁸)²= ?

6¹⁶