Properties of Exponents

Multiplying and Dividing

100

Solve using the properties of exponents: 

c^10/c^5

c⁵

200

Simplify using Properties of Exponents: (2x³) (4x⁵)

8x⁸

300

Simplify using Properties of Exponents: 5d²² · -3d¹²

-15d³⁴

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. Leave in exponent form: (3²)⁵

3¹⁰

200

Simplify using Properties of Exponents: (4x⁴)³

64x¹²

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: On board

4x³

400

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

1/r^2

500

Simplify using Properties of Exponents: on board

1/3 x⁴y⁸

What's this???

100

Simplify using Properties of Exponents: 125⁰

1

200

Simplify using Properties of Exponents: (2¹)

2

300

Simplify using Properties of Exponents: 5¹5²

125 

400

Simplify using Properties of Exponents: 0¹

0

500

Simplify using Properties of Exponents: (4n³)²

16n⁶

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)