Module 12 Exponents and Scientific Notation

Scientific Notation and Standard Form

100

1.234 x 10²

123.4

200

0.0000035

3.5x10^-6

300

6.0734 x 10^-3

0.0060734

400

63550000000

6.355x10¹⁰

500

324 x 10⁵

32400000

Exponent Rules

100

Simplify (dividing bases): 2¹⁴/2^-3

2¹⁷; Quotient of Power Property

200

15² x 15

15³

300

Simplify: 12^-6x 12²

12^-4

400

(3ⁿ x 3²)⁴=3²⁸

n=5

500

What is 1.43E-8 in scientific notation?

1.43x10^-8

Exponent practice

100

2^-4 x 2⁶

2²

200

Write on board: 9^-1 x 9²/9^-3

9⁴

300

(3x10⁴) + (1x10⁷) x (2x10^-3)

50,000

400

write on board: 8³ x 8 x 8⁵/ 8¹²

8^-3

500

Write out on board: (2x10⁵)-(1.1x10⁵)/3x10⁵

0.3