Exponent Rules!

Basics

100

z⁵

What is the exponent? What is the base?

Exponent is 5. Base is z.

200

True or False: Exponents can be negative and fraction numbers. 

True!

Ex: (4)^1/2 = 2

3^-2 = 1/9

300

Write the expression using exponents: 10*10*10*10

10⁴

400

Write the expression using exponents: (-5)(-5)(-5)(-5)(-5)

(-5)⁵

500

Which is greater: -6² or (-6)² ?

(-6)²=36 is greater than -6²=-36. 

Product Rule

100

Fill in the blank: when multiplying exponential expressions with the same base, we should ___ the exponents.

add

200

3⁵ · 3⁰

3⁵

300

y^-3 · y¹⁴

y¹¹

400

2² · 2⁴ · 2⁶ · 2⁸

2²⁰

500

If n^a · n⁴ = n⁷, then what is a? 

a = 3

Quotient Rule

100

Fill in the blank: when dividing exponential expressions with the same base, we should ___ the exponents. 

subtract

200

q⁵ / q³

q²

300

x² / x²

x⁰ or 1

400

3¹⁰ / 3

3⁹

500

m^-2 / m^-1

m^-2-(-1) = m^-2+1 = m^-1

Power Rule

100

Fill in the blank: when an exponent is raised to another exponent, we ___ the exponents.

multiply

Ex: (x³)⁵ = x^3*5 = x¹⁵

200

(a³)⁴

a¹²

300

(3²)³

3⁶

400

Write using exponents: (x²)(x²)(x²)

(x²)³ or x⁶

500

(2xy)³

8x³y³

Potluck

100

When is the last day of classes? 

Tuesday, June 22nd

200

It is illegal to eat fried chicken with a fork in what state? 

Georgia

300

Who said this quote: "There are no mistakes. Just happy accidents." ? 

Bob Ross

400

This person was born on June 23, 2006. 

Who is Jacques Knox?

500

This person was born on June 13, 2006. 

Who is Zaituni Wanyana?