Multiplying & Dividing using Scientific Notation & Exponents

Scientific Notation/Standard Form

100

Write in Standard Form.

2.5 x 10³ 

2,500

200

Write in Scientific Notation.

40,000

4 x 10⁴

300

Write in Standard Form.

6.1 x 10^-6

0.0000061

400

Write in Scientific Notation.

93,000,000

9.3 x 10⁷

500

Write in Scientific Notation.

0.0003205

3.205 x 10^-4

Multiplying

100

Write using a single exponent.

(-3)⁴ (-3)⁹

(-3)¹³

200

Simplify

3x⁴ (4x⁴)

12x⁸

300

Simplify

1/2 y (2/3 y²)

1/3 y³

400

Simplify

-2x³y²(-5x⁶y³)

10x⁹y⁵

500

Simplify

1/2 x²y⁶(-6xy²)

-3x³y⁸

Dividing

100

Write using a single exponent

x⁶ /(x³)

x³

200

Write using a single exponent.

(-8)¹² /(-8)²

(-8)¹⁰

300

Simplify

(-5)⁷ /(-5)⁴

-125

400

Simplify

(-2)⁸ /(-2)⁴

16

500

Simplify

3x⁴y⁷ /(5xy³)

3/5 x³y⁴

Multiplying w/ Scientific Notation

100

Simplify

(3 x 10³)(2 x 10⁵)

6 x 10⁸

200

Simplify

3(2.1 x 10⁸)

6.3 x 10⁸

300

Simplify

(4.5 x 10^-3)(4 x 10⁸)

1.8 x 10⁶

400

Simplify

(3 x 10⁷)(9 x 10⁶)

2.7 x 10¹⁴

500

Simplify

(3.4 x 10²)(3 x 10^-6)

1.02 x 10^-3

Dividing w/ Scientific Notation

100

Simplify

(8 x 10⁵) / (4 x 10²)

2 x 10³

200

Simplify

(4 x 10¹⁸) / (9 x 10⁷)

4/9 x 10¹¹

300

Simplify

(7 x 10⁸) / (5 x 10⁵)

7/5 x 10³

400

Simplify

9.1/ (4.3 x 10⁴)

2.1 x 10^-4

500

Simplify

(3.6 x 10⁹) / (2.4 x 10³)

1.5 x 10⁶