Property of Integer Exponents Review

Property of Integer Exponents Review

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Performance Based Objective & Daily Learning Target

Standard: 8. EE .A. 1

Performance Based Objective (PBO):

SW know and apply the properties of integer exponents IOT generate equivalent numerical expressions. For example, 3² × 3^-5 = 3^-3 = 1/3³ = 1/27.

Daily Learning Target:

SW review Properties of Integer Exponents to generate equivalent expressions using Jeopardy and Collaborative work with partners. 

Properties of Integer Exponents

Product of A Power

a^mx aⁿ= a^m+n

3²+ 3⁵= 3⁷

3^(-5)+3 ^___= 3⁰

Fill in the Blank

Product of Power: When we multiply with the same base we ________ the exponents.

Multiple Choice

9⁴ x 9^x = 9⁸

• x = 4

• x = 2

• x = -4

• x = -2

Multiple Choice

• 3²⁰

• 3⁹

• 3¹

• 9²⁰

Power of A Power

(a^m)ⁿ= a^mn

(3^{2 )5}= 3¹⁰

Fill in the Blank

When a power is raised to another power, what should be done with the exponents?

Multiple Choice

(3²)⁵

• 3³

• 3⁷

• 3¹⁰

• 3¹⁵

Multiple Choice

• 7⁶

• 7⁵

• 7¹

• 7⁹

Power of a Product

(4x)²= (4x) (4x) = 16x²

Multiple Choice

• $$25x^{22}$$

• $$10x^{22}$$

• $$25x^{13}$$

• $$-25x^{22}$$

Multiple Choice

• -30x¹¹

• -30x¹⁸

• -x¹¹

• -x¹⁸

Quotient Power

Open Ended

When we divide with the same base, we _______ the exponents?

Multiple Choice

5⁴ / 5³

• 5⁷

• 5¹²

• 5⁰

• 5

Multiple Choice

• 9²

• 9⁸

• 9¹⁵

• 9⁵³

Negative Exponents

Poll

In order to make negative exponents-- positive exponents, we should be flipped to its reciprocal and exponents sign..

• True

• False

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷

Multiple Choice

5^-2

• 1/25
• 1/5²

Zero Propery

Multiple Choice

Any number written to the 0 power is always 1
Example: 8⁰=1

• True

• False

Multiple Choice

5⁷ x 5^-7

• 0

• 1

• 2

• 3

Multiple Choice

10⁵ x 10^x = 10⁰

• x = 5

• x = 4

• x = -5

• x = 1

Multiple Choice

• 10

• 0

• 1

• 100

Bonus

Multiple Choice

• 5¹⁶

• 5¹²

• 5⁴

• 5⁷

Multiple Choice

Solve 5^-2

• -10

• 1/25

• 1/(5)²

• -1/10

Multiple Choice

3⁻⁴

• 1 ⁄ 81

• -81

• 81

• 1 ⁄ 12

Multiple Choice

Solve (-8)^-2

• 1/(-8)²

• 1/8²

• 1/64

• -64

Multiple Choice

Simplify x^-7

• -7

• -7x

• 1/x⁷

• -1/x⁷

Multiple Choice

Simplify (-9)⁰

• -9

• -1

• 1

• 9

Multiple Choice

$$5^3\cdot7^3$$  

• $$35^9$$  

• $$7^6$$  

• Cannot combine

• $$5^6$$  

Multiple Choice

$$m\cdot m^3$$  

• $$m^2$$  

• $$m^3$$  

• 2m

• $$m^4$$  

Multiple Choice

$$\left(2^2\right)^0$$  

• 0

• 1

• 4

• 2

Multiple Choice

$$\frac{8^{-5}}{8^{-2}}$$  

• undefined 

• undefined 
  

• $$8^7$$  

• $$8^{10}$$  

Multiple Choice

$$\frac{4^{-3}}{5^{-4}}$$  

• $$\frac{5^4}{4^3}$$  

• 4^-7

• $$\frac{4^3}{5^4}$$  

• 5^-1

Multiple Choice

(x⁸)(x^-5)

• x^-40
• x^-13
• x¹³
• x³

Multiple Choice

$$\left(4^{-2}\right)^3$$  

• $$4^6$$  

• $$4^5$$  

• $$\left(\frac{1}{4^6}\right)$$  

• 4

Multiple Choice

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Multiple Choice

3⁵ x 3^-3

• 3⁸

• 3²

• 3^-15

• 3^-2

Math Response

$$\frac{5^{10}}{5^2}=$$

Type your answer in exponential form.

Type answer here

Correct Answer: 5^8

Deg^°

Rad

Math Response

Try It

Simplify: $$455^{0\ }=$$

Type answer here

Correct Answer: 1

Deg^°

Rad

Multiple Choice

Select the expression that is equivalent (equal) to (7⁶)⁴.

• 7¹⁰

• 7²

• 7²⁴

Multiple Choice

Select the expression equivalent (equal) to

6⁸ / 6³

• ​6¹¹

• 6⁵

• 6²⁴

Multiple Choice

What is the correct way to equivalent 5² * 5³ ?

• 5⁶

• 5^-1

• 5⁵

Multiple Choice

 

Which expression is equivalent (equal) to

10⁹ / 10³

• 1/10^-6

• 10⁶

• 10^-6

• 1 / 10⁶

Multiple Choice

 

Which expression is equivalent (equal) to

• 6³

• 6⁴

• 6²

• 6⁶

Fill in the Blank

4² * 4