Laws of Exponents

Multiplying

100

Simplify: x² ∙ x³

x⁵

200

Simplify: y² ∙ y⁸

y¹⁰

300

Simplify: z ∙ z²

z³

400

Simplify: x⁴ ∙ x⁹ ∙ x¹²

x²⁵

500

Simplify: y¹⁴ ∙ y^-8 ∙ y^-6

1

Dividing

100

Simplify: x⁴/x²

x²

200

Simplify: y⁶/y²

y⁴

300

Simplify: z¹³/z⁵

z⁸

400

Simplify: (x⁶)(x⁴)/x⁵

x⁵ 

500

Simplify: y⁸/y

y⁷

Power of a Power

100

Simplify: (x²)³

x⁶

200

Simplify: (y²)⁶

y¹²

300

Simplify: (z³)⁶

z¹⁸

400

Simplify: (x⁸)³(x²)

x²⁶

500

Simplify: (y⁶)⁶(y²)³

y⁴²

Negative Exponents

100

Simplify: x^-2

1/x²

200

Simplify: y^-3

1/y³

300

Simplify: (z^-2)^-3

z⁶

400

Simplify: (x^-2)²

1/x⁴

500

Simplify: (1/y^-2)²

y⁴/1 or y⁴

Challenge

100

Simplify: x² ∙ (x³)²

x⁹

200

Simplify: (y²)³/y²

y⁴

300

Simplify: x^-2. (x^-4)^-2

x⁶

400

Simplify: (y^-3)²(z^-2)/y^-2

1/y⁴z²

500

Simplify: 4x³y^-2z / 2x^-2z³

2x⁵ / y²z²