Exponent Review

Multiplying Exponents

100

(x²)*(x⁴)

x⁶

200

2b⁶*3b⁴

6b¹⁰

300

4x*4x

16x²

400

x*x*x

x³

500

x*x*3x²

3x⁴

Dividing Exponents

100

x^8/x^3

x⁵

200

7^9/7 

7⁸

300

(4x^3)/(2x) 

2x²

400

(18x^8)/(9x^2 )

2x⁶

500

(18x^6y^5)/(3x^3y)

6x³y⁴

Power to Power

100

(2³)⁴

2¹²

200

(x³)⁵

x¹⁵

300

(x¹²)³

x³⁶

400

(7²⁴)³

7⁷²

500

(x⁴⁰)²⁰

x⁸⁰⁰

Power of Product

100

(4x^7 y^8 )^2 

16 x¹⁴ y¹⁶

200

(9²x⁴y⁵)³

531,441 x¹² y¹⁵

300

(2³x⁴)⁵

32,768 x²⁰

400

(4x⁶y⁴)³

64x¹⁸y¹²

500

(5a⁴b⁵c)²

25a⁸b¹⁰c²

Product of Quotients

100

((x^7)/(x^3))^3 

x¹²

200

((2x^7)/(x^2))^3

8x¹⁵

300

((8^3)/8)^3 

8⁶ or 262,144

400

((r^6)/r)^2

r¹⁰

500

((8w^6)/(2w))^2 

16w¹⁰

Negative & Zero Exponents

100

x^0 

1

200

-5x^0 

-5

300

(8x^7)/(4x^9)

2/x^2 

400

(-15x^4y^5)/(3x^6y)

(-5y^4)/x^2 

500

(-5a^4b^6c^8)/(20a^6b^2c)

-(b^4c^7)/(4a^2)