Property of Integer Exponents Review

Property of Integer Exponents Review

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

Poll

How do you feel about the quiz tomorrow?

• I have this!

• I'm okay.

• I need to study a little more.

• Jesus, I need help!

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