Exponential Notation

Product Rule

100

10 x 10¹⁶

10¹⁷

200

6³ x 6¹²

6¹⁵

300

100 x 10⁴

10⁶

400

(10 x 10¹⁷) x (10⁴ x 10³)

10²⁵

500

(6⁸ x 36) x (6³ x 36)

6¹⁵

Quotient Rule

100

8¹⁰/8⁷

512

200

10²⁰/10⁶

10¹⁴

300

64/4²

4

400

(4)⁶/ (4)³

64

500

(10⁶)⁹/ (10³)⁴

10⁴²

Power to Power Rule

100

(10³)⁸

10²⁴

200

(10⁴ x 10⁷)³

10³³

300

(10³ x 2⁷)⁵

10¹⁵ x 2³⁵

400

(5⁴ x 5⁷ x 3² x 3⁶)⁴

5⁴⁴ x 3³²

500

(20¹⁰ x 6⁴ x 20⁶ x 6⁹)⁹

6¹¹⁷ x 20¹⁴⁴

FOIL

100

(a+4) (a+6)

10a x a² x 24

200

(6a+6) (2a+4)

36a+ 12a²+24

300

(10z+3) (6z+5)

60z²+68z+15

400

(x²+3) (x²+6)

x⁴+ 9x²+18

500

(3x+6) (5x+ -2)

15x²+24x+(-12)

Negative Exponents

100

a^-2

1/a²

200

3^-4

1/54

300

cd^-3

c/d³

400

1/4^-3

64

500

6a^-3/7a^-5

6a²/7