Multiplying and Dividing Powers
Raising Powers and a Product to a Exponent(s)
Raising a Quotient to an Exponent
Raising a Quantity to an Exponent of 0
Exponent Trivia
100

When multiplying powers, which would be the correct way of answering?

 1.(ar)(aw)=(ar+w)

 2.(ar)(aw)=(arxw)

(ar)(aw)=(ar+w)

100

When raising a product to an exponent, which would be the correct way to solve?

1. (ab)3=(axb)3

2.(ab)3=(a3xb3)

2.(ab)3=(a3xb3)

100

When raising a quotient to an exponent, which would be the correct solution?

1. (a/b)2= (a/b2)

2.(a/b)2= (a2/b2)

2.(a/b)2= (a2/b2)

100

Which is the correct answer?

1. a0=a

2. a0=1

a0=1

100

What's a way to remember these exponent laws?

You can practice applying these laws through textbook questions. The more you practice them and how they work the easier it becomes to remember them.

200

Write the following equation as 2 powers. Then write it as a single-power

(4x4x4x4x4)÷(4x4x4)

(45)÷(43)=(42)

200

Write this equation as 2 powers.

(3x7)6

(36x76)

200

Write this equation as a single power,

(4x4)6

412

200

Solve the equation 

(45÷43)0

1

200

What are good ways to deepen and strengthen your understanding of these laws? 

There are plenty of good ways to deepen your understanding of these laws. Things such as practicing textbook questions, playing games based on exponents, like the one right now, listening to songs based on exponents, or even flash cards. 
300

Write the following equation as a single power, (33x34)÷(327÷322)

(33x34)÷(327÷322)=

(37)÷(327÷322)=

(37)÷(35)=

32

300

Marie has (23)2 people attending her party. If half her guests leave, how many people will be left?

32 people

300

Write this equation as a single-power 

(5÷5÷5)7

521

300

Solve the equation, 

(33÷32)0

1

300

How can you predict the comprehension of these laws to help you in later years of math, (be specific)?

Algebra, exponents, and other math will all build on these laws. If we deeply understand these laws, we can learn the harder math. It will help us to understand further topics and figure things out proactively. 
400

Write this equation as a single power,

(42x43)x(43x41)÷(43x43)

43

400

Write this equation as a single-power

(3x3x3x3x3)2÷(3÷3÷3)3

31

400

Solve the equation

(84)÷(42)

(84)÷(42)=

(23)4÷(22)2=

(28)

400

Solve the equation

-(43x46x41)0

-1

400

Why do we need to know and understand these laws?

These laws could become the foundation for more difficult math later on. If we deeply understand how to use these laws and how they work, it will become easier to understand harder math later. It's like when you're building something. Without a strong foundation, the whole thing will collapse. We also need to understand these laws so we can pass the test. 

500

Write this equation as a single power,

(35÷32)x(38x39)÷(316÷37)x(31x32)

314

500

Write this equation as a single-power

(4x4)7x(4x4)3÷(4x4)5

410

500

Solve the equation

(63)÷(32)

(63)÷(32)=

(23)x(33)÷(32)=

(23)x3=

24

500

-(35÷32x38x39÷316÷37x31x32)0

-1

500

Did I get a good grade?

Yes

No

Yes (hopefully)

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