Exponents

Zero/Negative Exponents

100

(4p / 2z)⁰

1

200

Simplify (900/z)⁰

1

300

Simplify (20⁰/p)

1/p

400

Simplify (a^-2b^-8)/(b^-1)

b⁷/a²

500

(x⁻³y⁵) / (xy⁴)

                                   

    

y/(x⁴)

Product of Powers

100

Simplify (b¹)(b⁶)

b⁷

200

Simplify (z¹⁰)(z⁸⁰)

z⁹⁰

300

Simplify (2d¹⁰⁰)(d⁷⁴)

2d¹⁷⁴

400

Simplify (8p⁷⁴)(9pz⁸⁷)

72p⁷⁵z⁸⁷

500

(−6p⁸⁹)(−30e³)

180e³p⁸⁹

Power of Product/Power

100

Simplify and evaluate [(2)²]²

2⁴=16

200

Simplify and evaluate [(3)²]²

                                   

    

3⁴=81

300

Simplify (−

-x³y³

400

Simplify (0.2a²b³)²

                                   

    

0.04a⁴b⁶

500

Simplify (1/4ad³)²

                                   

    

(1/16a²d⁶)

Power of Quotient

100

Simplify (a/b)⁵

a⁵/b⁵

200

Simplify and evaluate (4/5)³

4³/5³=64/125

300

(2a/3b)⁴

16a⁴/81b⁴

400

1/(z³)³

1/z⁹

500

Simplify (2c)⁶/(bc)⁵

64c/b⁵

Quotient of Powers

100

Simplify y⁷/y³

y⁴

200

Simplify k¹⁰⁰/k⁸⁹

k¹¹

300

Simplify h³⁵/h⁶

h²⁹

400

Simplify g⁸h⁹/g²h³

g⁶h⁶

500

Simplify v¹⁰/v¹⁰

1