Unit 4.2 Exponent Review

Rules

100

(a^x)(aⁿ) = 

Multiplying Exponents

a^x+n

200

a^m

^___

aⁿ

What is dividing exponents

a^m-n

300

a^-n

What is a negative exponent

1

___

aⁿ

400

(a^m)ⁿ

What is power to a power rule

a^mn

500

(X)⁰

What is anything to the zero power is one?

Negative Exponents

100

(x^-2)(x³)

x

200

(y^-3z²)(y²z⁴)

z⁶

^___

y

300

(1/3x^-4y)(6x)

2y

___

x³

400

s⁰r^-4

^_____

s^-1r³

s

___

r⁷

500

(y^-2)

_____

(-4y²z²)

1

____

-4y⁴z²

Power to Power

100

(x⁴yz²)²

x⁸y²z⁴

200

(4x²)² 

16x⁴

300

(x²)^-3

_________

(x^-4y²)³

x⁶

^___

y⁶

400

(3x²/4)³

27x⁶

^______

64

500

(2x⁵y)⁴

^_______

8x⁵

2x¹⁵y⁴

Multiplying and Dividing

100

(x³y⁴)(xy²)

x⁴y⁶

200

 4x⁴

^_____

2xy

2x³

^____

y

300

(xy²)(x⁴y^-2z)(2x²)

2x⁷z

_____

y²

400

(2/3x^-6y²)(-3x^-2y^-8)

-2

___

x⁸y⁶

500

(-3x³y⁵)(3yz⁴)

____________

(3x²yz²⁾

-3xy⁵z²

Square Roots

100

√256

16

200

√98  

7√2

300

4√8

8√2

400

3√63

9√7

500

−3√150

-15√6