Properties of Exponents

Product of a Power

100

Simplify:

x⁵*x⁹⁵

x¹⁰⁰

200

Simplify:

x⁸*x⁹⁵

x¹⁰³

300

Simplify:

15x⁶z⁷y⁸*(1/5)x⁴z³y²

3x¹⁰z¹⁰y¹⁰

400

Simplify: 

(-x)⁷x⁵*(-x)x⁵

(-x)⁸x¹⁰

500

Simplify:

abc⁴⁵⁰defg⁷⁰⁰*ab⁵⁰⁰cde³fg²

a²b⁵⁰¹c⁴⁵¹d²e⁴f²g⁷⁰²

Quotient of a Power

100

a⁶/a⁴

a²

200

9x¹⁷/3x¹⁶

3x

300

x⁷⁹z⁴⁹/x⁴⁰z³⁰

x³⁹z¹⁹

400

75r⁴⁶s³⁵/15r⁴³s³²

5r³s³

500

63a⁷⁹b³⁶c³¹d²/d

63a⁷⁹b³⁶c³¹d

Power of a Power/Product

100

(x⁸)⁵

x⁴⁰

200

(16²)²

65,536

300

(x¹⁷y¹⁶)²

x³⁴y³²

400

(-a⁶b⁸)⁵

-a³⁰b⁴⁰

500

(68p⁸¹/4)²

289p¹⁶²

Negative Powers

100

b^-1

1/b

200

t^-54

1/t⁵⁴

300

-(x)^-47

-1/x⁴⁷

400

(-x)^-47

1/x⁴⁷

500

1/(x)^-1

x