Exponents

Zero

100

(x²y)⁰

1

200

x⁴z⁰x⁶y³

x¹⁰y³

300

2a(a⁶a³)⁰

2a

400

4x⁶yz⁰z⁵

4x⁶yz⁵

500

4²xy⁴z⁶  /  2x²z⁰

8y⁴z⁶  /  x

Negative

100

2a^-2 

2 / a²

200

4ab^-3c^-2 / 2a^-3bc⁴

2a⁴ /  b⁴c⁶

300

-3²ab^-3

-9a / b³

400

(-6²x^-3y^-3)

-36 / x³y³

500

(5²x²)^-3 / x⁴

1 / 5⁶x¹⁰

Quotient

100

8y¹⁵ / 16y²¹

1 / 2y⁶

200

3a³b² / 3²a^-2b⁵

a⁵ / 3b³

300

2³c²d / 2²c^-1

2c³d

400

5a^-2b⁴ / 10^-1b

50b³ / a²

500

(2xy^-2 / 3x^-3) ^-4 

3⁴y⁸ / 2⁴x¹⁶

Radical/Rational

100

x^3/4 in radical form 

(4√x)^3

200

Simplify: (64)^-1/2 

1 / 8

300

32^1/5 in radical form and then simplify 

5√32 = 2

400

 6√14² in rational form 

14^2/6 or 14^1/3

500

(64x⁶)^1/3 

³√64x^6/3  = 4x²

Power/Product

100

(2xy²)³

8x³y⁶

200

(2x²y³) (3x)²

18x⁴y³

300

(-4abc⁵d⁰)³

-64a³b³c¹⁵

400

(16x^-2y⁴z^-3)^-2

x⁴z⁶ / 16²y⁸

500

(2x²y^-3) (4x^-4y²)⁰

2x² / y³