Properties of Exponents

Multiplying and Dividing

100

Simplify using Properties of Exponents: 2⁹ / 2⁵

2⁴

200

Simplify using Properties of Exponents: (x³)x⁵

x⁸

300

Simplify using Properties of Exponents: d²² · d¹²

d³⁴

400

Simplify using Properties of Exponents: 

x^25 / x^13

x¹²

500

Simplify using Properties of Exponents: 

(18a^9) / (3a^5)

6a⁴

Power of a Power

100

Simplify using Properties of Exponents: (3²)⁵

3¹⁰

200

Simplify using Properties of Exponents: (x⁴)³

x¹²

300

Simplify using Properties of Exponents: (2p⁵)³

8p¹⁵

400

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

1/z^16

500

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

1/m^8

Mixed bag!!!

100

Solve using properties of exponents? (x³y⁴)(x^-2y^-1)

xy³

200

Simplify using Properties of Exponents: 1,000,000¹

1,000,000

300

Simplify using Properties of Exponents: (c²)³

c⁶ 

400

Simplify using Properties of Exponents: (r¹⁰)(r^-2)/ (r⁵)²

1/r^2

500

Simplify using Properties of Exponents: 

8^-2 * 1/8

1/8³

What's this???

100

Simplify using Properties of Exponents: 125⁰

1

200

Simplify using Properties of Exponents: (2⁰)

1

300

Simplify using Properties of Exponents: 0¹

0

400

Simplify using Properties of Exponents: (3X2n³)²

36n⁶

500

Simplify using Properties of Exponents: (7¹⁰)(7^-2)/ (7⁵)²

1/7²

Negative Exponents

100

3^-5

1/3^5

200

b^-3

1/b^3

300

x⁷ * x^-6 * y^-3

x/y^3

400

a⁷ * a⁰ * a^-5

a²

500

(xy)^-3

1/(x^3y^3)