Exponents

Laws Of Exponents

100

x^a * x^{b =}

Product Rule 

200

x^a / x^b

Quotient Rule 

300

x ^-a 

Negative Exponent Rule 

400

(x^a)^b

Power Rule 

500

x⁰

Zero Exponent Rule 

Solve!

100

(3⁴)²

3⁸

200

(4²)⁶

4¹²

300

(10⁴)⁵

10²⁰

400

(5²)⁹

5¹⁸

500

(40¹⁰)¹⁰

400¹⁰⁰

Solve!

100

4¹

4

200

10²

100

300

5³

125

400

20³

8,000

500

15⁵

759, 375

Solve!

100

2⁴ / 2³

2¹ or 2

200

3⁵ / 3⁵

0

300

10⁷ / 10⁴

10³ or 1,000

400

14³⁰ / 14¹⁵

14¹⁵  

500

30²⁰ / 30¹⁵

30⁵

Solve!

100

5⁴ x 5²

5⁶

200

4³ x 4⁸

4¹¹

300

8⁴ x 8⁹

8¹³

400

15²⁰ x 15²⁰

15⁴⁰

500

100⁵⁰ x 100⁷⁰

100¹²⁰