Ch 7 Exponent Review

Product Rule

100

(x²)(x³)

x⁵

200

(x⁶)(x³)(x) 

x¹⁰

300

(x)(y)(x³)(y⁴) 

x⁴y⁵

400

-3(4x)(2xy³)

-24x²y³

500

True or false: (x+3)² = x²+9

false

Power Rule

100

(x²)⁶ = ?

x¹²

200

(-2)⁶ = ?

64

300

(x³y⁴)³ = ?

x⁹y¹²

400

-3(4xy⁵)² = ?

-48x²y¹⁰

500

((-8^2xy^4)/(4x))^2

256y^8

Quotient Rule

100

x^7/x^5

x^2

200

x^4/x^7

1/x^3

300

(x^5/x^3)^2

x^4

400

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

49x^6

500

(x^3/(4xy^2))^2 * ((xy^3)/-3)^2

(x^6y^2)/(144)

Zero and Negative Exponents

100

x^0

1

200

-(-3xy^3)^0

-1

300

2^-4

1/16

400

-2(3xy^6)^0

-2

500

(5x^4y^-1z^-1)/(x^-4y^0z^0)

(5x^8)/(yz)

Random

100

3³ = ?

81

200

x*1/x^2

1/x

300

-3x^-1

-3/x

400

Solve for x and y using elimination: 

2x+y=8

-x+3y=17

(1,6)

500

(30x^16)/((2x^8)^3)

15/(4x^8)