Law of Exponents Review

Multiplication

100

4³ ⋅ 4 = ?

4⁴

200

 x² ⋅  x³ ⋅ x = ?

x⁶

300

2y⁸ ⋅ 3y³ = ?

6y¹¹

400

3⁴ ⋅  5² ⋅ 3⁶ ⋅  5³ = ?

3¹⁰ ⋅ 5⁵

500

(6x³y²)(2xy⁴) = ?

12x⁴y⁶

Division

100

x^8/x^3 = ?

x⁵

200

(4b^9)/(2b) = ?

2b⁸

300

(15x^10y^5)/(5x^8y^4) = ?

3x²y

400

(20a^5b^3)/(5a^5b)= ?

4b²

500

(14f^2gh^8)/(7fgh^4) = ?

2fh⁴

Power to Power

100

(x³)² = ?

x⁶

200

(2a)³ = ?

2³a³   OR  8a³

300

(a²bc)³ = ?

a⁶b³c³

400

(x²y)⁴ = ?

x⁸y⁴

500

(3ab²c⁴)² = ?

3²a²b⁴c⁸    OR   9a²b⁴c⁸

Zero & Negative

100

128⁰ = ?

1

200

4x⁰ = ?

4

300

Simplify so there are no negative exponents: 2^-3

1/2^3 or 1/8

400

Simplify so there are no negative exponents: x^-2y²

y^2/x^2

500

Simplify so there are no negative exponents:

(2x^-3)/(y^-4)

(2y^4)/(x^3)

Mixed Practice

100

Simplify: (3a²)(4a)

12a³

200

Simplify: 

((x^3y^4)^2)/(xy^2)

x⁵y⁶

300

Simplify: 

(4a^5b^2)/(2ab^3)

(2a^4)/b

400

Simplify: 

(8x^0)/(4x^0)

2

500

Simplify: 

((9x^-1y^2)(x^-1y))/(3y)

(3y^2)/x^2