Exponents

Solve!

100

3⁵

243

200

(-4)³

-64

300

(1/2)⁴

1/16

400

(-8)⁴

4096

500

-9²

-81

Product Property

100

x⁹ . x²

x¹¹

200

3x⁴ . 4x⁶

12x¹⁰

300

(1/2)x³ . 6x⁵

3x⁸

400

5a²  . 10b⁴ . 2a¹⁰

100 a¹² b⁴

500

4x⁵ . 5xy³ . 3y⁸ . 2x³y

120 x⁹y¹²

Quotient Property

100

When you divide two numbers with the same base, you do this with the exponents.

subtract

200

p⁸ ÷ p⁵

p³

300

(-4)¹⁴ ÷ (-4)⁵

(-4)⁹

400

(2y)²³ ÷ (2y)¹⁵

(2y)⁸

500

35x⁸ y¹³ z⁵ ÷ 7x y⁷ z²

5x⁷ y⁶ z³

Power to Power

100

(x⁴)⁷

x²⁸

200

(x⁴ . x⁷)³

x³³

300

(x⁵ . y⁴)²

x¹⁰ y⁸

400

(2x⁵)³

8x¹⁵

500

(x⁶ y⁷ x²)³

x²⁴ y²¹

Just Simplify!

100

12x²y⁵ . 3x⁶ ÷ 2y

18x⁸ y⁴

200

5x⁸ . 3y⁷ . 6x³ (y³)³ ÷ 3y¹⁰ . 3x²

10 x⁹ y⁶ 

300

6a⁶ . 8b⁵c⁴ . 2b⁸ ÷ 2c² . 4(b²)³

12a⁶ b⁷ c²

400

45x^{2 .} x³ y⁷ . x⁵ (y²)⁴ ÷ (3x²)² y⁰

5x⁶ y¹⁵

500

5x⁶ (y² x⁴)³ . 7x³ y⁶ ÷ 7x³ (y⁵ x²)⁰

5x¹⁸ y¹²