Properties of Exponents

Multiplying and Dividing

100

Solve using the properties of exponents: 

c^10/c^5

c⁵

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

x³⁸

500

Simplify using Properties of Exponents: 

2y^(0)x^(2)2y^2

2x 2y²

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: (c²)³

c⁶

300

Simplify using Properties of Exponents: 3x²y^-26

(18x^2)/y^2

400

Simplify using Properties of Exponents:

x^-2/x^-2

1

500

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

1/(r^2)

RULES

100

Finish the following rule:

x^{0 = ?}

1

200

Finish the following rule:

x^(a) x^(b)=?

x^(a) x^(b)=x^(a+b)

300

Finish the following rule:

x^(a)/x^(b)=?

x^(a)/x^(b)=x^(a-b)

400

What is the name for a triangle with the following rules?

1. both legs of the triangle are congruent

2. the hypotenuse= leg x 2^(1/2)

45-45-90 right triangle

500

Name the rules for a 30-60-90 Right Triangle

 1.where x is the short leg  2. x√3 is the long leg, 3. 2x is the hypotenuse,

Negative Exponents

100

Simplify the following expression to only contain positive exponents: 3^-5

1/3^5

200

Simplify the following expression to only contain positive exponents: b^-3

1/b^3

300

Simplify the following expression to only contain positive exponents: x⁷ * x^-6 * y^-3

x/y^3

400

Simplify the following expression to only contain positive exponents: a⁷ * a⁰ * a^-5

a²

500

Simplify the following expression to only contain positive exponents: (xy)^-3

1/(x^3y^3)