Properties of Exponents

Product of a Power

100

Simplify:

6⁵  * 6⁹⁵

6¹⁰⁰

200

Simplify:

x⁸ * x⁹⁵

x¹⁰³

300

Simplify:

16x⁶z⁷ * .5x⁴z³

8x¹⁰z¹⁰

400

Simplify: 

(4x⁴y) * (5x⁶y²)

20x¹⁰y³

500

Simplify:

(7a¹⁵b²³c¹²) * (3a⁹b⁸c^-7)

21a²⁴b³¹c⁵

Quotient of a Power

100

a⁶/a⁴

a²

200

9x¹⁷/3x¹⁶

3x

300

x⁷⁹z⁴⁹/x⁴⁰z³⁰

x³⁹z¹⁹

400

18p⁸t⁶/3p²t³

6p⁶t³

500

63a⁷⁹b³⁶c³¹d²/9a²⁰b¹²c¹³d

7a⁵⁹b²⁴⁶c¹⁸d

Power of a Power/Product

100

(x⁸)⁵

x⁴⁰

200

(16²)²

65,536

300

(x¹⁷y¹⁶)²

x³⁴y³²

400

(-a⁶b⁸)⁵

-a³⁰b⁴⁰

500

(4a³b²c⁴)³

64a⁹b⁶c¹²

Negative Powers

100

3^-2

1/3²

200

t^-54

1/t⁵⁴

300

44^-47

1/44⁴⁷

400

10⁰x⁴y^-2

x⁴

y²

500

1/x⁶

x^-6

Miscellaneous

100

What is the value of m

24^{m *} 24⁵ = (24³)⁴

m = 7

200

Which expression is equivalent to (a * b)⁶

ab⁶         a⁶ * b⁶     a * b⁶

a⁶ * b⁶

300

Write (23x)³ without exponents

23x * 23x * 23x

400

Which product is equal to 8⁶

8² * 8³           8⁷ * 8¹          8³ * 8³

8³ * 8³

500

What is 263⁰

1