Properties of Exponents and Scientific Notation

Multiplying and Dividing

100

Solve using the properties of exponents: c^10/ c⁵

c⁵

200

Simplify using Properties of Exponents: x³x⁵

x⁸

300

Simplify using Properties of Exponents: d²² · d¹²

d³⁴

400

Simplify using Properties of Exponents: x²⁵ / x¹³

x¹²

500

Simplify using Properties of Exponents: 18a⁹ / 3a⁵

6a⁴

Power of a Power

100

Simplify using Properties of Exponents: (3²)⁵

3¹⁰

200

Simplify using Properties of Exponents: (m^-2)⁴

1/m⁸

300

Simplify using Properties of Exponents: (x⁴)³

x¹²

400

Simplify using Properties of Exponents: (z⁴)^-4

1/z¹⁶

500

Simplify using Properties of Exponents: (2p⁵)³

8p¹⁵

Standard -> Scientific Notation

100

Write in standard form
3.2×10²

320

200

Write in standard form
4.7×10^-1

0.47

300

Write in standard form

6.05×10³

6050

400

8.91×10^-4

0.000891

500

Write In standard from
(2.5×10⁴)×(5×10²)

12.5 × 10⁶
1.25 × 10⁷
  = 12500000

Scientific Notation -> Standard

100

Write In Scientific Notation
450

4.5 × 10²

200

Write In Scientific Notation
0.0063

6.3 × 10^-3

300

Write In Scientific Notation
72,000

7.2 × 10⁴

400

The sun is 93,000,000 miles aways
Write that distance in Scientific Notation

9.3 × 10⁷

500

Write in scientific Notation
9,000,000 ÷ 3×10³

9 × 10⁶ ÷ 3 × 10³

9/3 = 3
10^6-3=10³

3 × 10³

Negative Exponents

100

3^-5

1/3⁵ 

200

b^-3

1/b³

300

x⁷ * x^-6 * y^-3

x/y³

400

a⁷ * a⁰ * a^-5

a²

500

(xy)^-3

1/(x³y³)