When multiplying powers, which would be the correct way of answering?
1.(ar)(aw)=(ar+w)
2.(ar)(aw)=(arxw)
(ar)(aw)=(ar+w)
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)
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)
Which is the correct answer?
1. a0=a
2. a0=1
a0=1
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.
Write the following equation as 2 powers. Then write it as a single-power
(4x4x4x4x4)÷(4x4x4)
(45)÷(43)=(42)
Write this equation as 2 powers.
(3x7)6
(36x76)
Write this equation as a single power,
(4x4)6
412
Solve the equation
(45÷43)0
1
What are good ways to deepen and strengthen your understanding of these laws?
Write the following equation as a single power, (33x34)÷(327÷322)
(33x34)÷(327÷322)=
(37)÷(327÷322)=
(37)÷(35)=
32
Marie has (23)2 people attending her party. If half her guests leave, how many people will be left?
32 people
Write this equation as a single-power
(5÷5÷5)7
521
Solve the equation,
(33÷32)0
1
How can you predict the comprehension of these laws to help you in later years of math, (be specific)?
Write this equation as a single power,
(42x43)x(43x41)÷(43x43)
43
Write this equation as a single-power
(3x3x3x3x3)2÷(3÷3÷3)3
31
Solve the equation
(84)÷(42)
(84)÷(42)=
(23)4÷(22)2=
(28)
Solve the equation
-(43x46x41)0
-1
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.
Write this equation as a single power,
(35÷32)x(38x39)÷(316÷37)x(31x32)
314
Write this equation as a single-power
(4x4)7x(4x4)3÷(4x4)5
410
Solve the equation
(63)÷(32)
(63)÷(32)=
(23)x(33)÷(32)=
(23)x3=
24
-(35÷32x38x39÷316÷37x31x32)0
-1
Did I get a good grade?
Yes
No
Yes (hopefully)