Laws of Exponents

Multiplying

100

x² ∙ x³

x⁵

200

y² ∙ y⁸

y¹⁰

300

z ∙ z²

z³

400

x⁴ ∙ x⁹ ∙ x¹²

x²⁵

500

y¹⁴ ∙ y^-8 ∙ y^-6

1

Dividing

100

x⁴/x²

x²

200

y⁶/y²

y⁴

300

z¹³/z⁵

z⁸

400

(x⁶)∙(x⁴)/x⁵

x⁵ 

500

y⁸/y

y⁷

Exponent of Exponent

100

(x²)³

x⁶

200

(y²)⁶

y¹²

300

(z³)⁶

z¹⁸

400

(x⁸)^{3 ∙} (x²)

x²⁶

500

(y⁶)^{6 ∙} (y²)³

y⁴²

Negative Exponents

100

x^-2

1/x²

200

y^-3

1/y³

300

(z^-2)^-3

z⁶

400

(x^-2)²

1/x⁴

500

(1/y^-2)²

y⁴/1 or y⁴

Challenge

100

x² ∙ (x³)²

x⁹

200

(y²)³/y²

y⁴

300

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

x⁶

400

x^-3. (x⁴)^-2

1/x¹¹

500

(y^-5)³/y^-2

1/y¹⁷