Scientific Notation and Exponents

Operations with Scientific Notation (Written in Scientific Notation)

100

(3 x 10⁵)(2 x 10¹²)

6 x 10¹⁷

200

(5 x 10⁹)(7 x 10³)

3.5 x 10¹³

300

8 * (9 x 10⁴)

 7.2 * 10⁵

400

(6 x 10⁸) / (2 x 10⁶)

3 x 10²

Scientific Notation and Standard Notation

100

This is 52,700,000 written in scientific notation.

5.27*10⁷

200

This is .000048 written in scientific notation.

 4.8 * 10^-5

300

This is 9.5 * 10⁴ written in standard notation.

95,000

400

This is 1.23 * 10 ^-5 written in standard notation.

.0000123

Simplifying with Exponents

100

 (6)^-2

1/36

200

(8x)^0

1

300

-4x⁰

-4

400

(x⁶ y³)(x⁵ y⁵)

x¹¹ y⁸

Exponent Rules

100

We ___ exponents when multiplying with same base.

add 

200

We ___ exponents when dividing with same base.

subtract.

300

We ___ powers when a power is raised to a power

multiply

400

Anything to this power is equivalent to one.

0