Exponent Review with the Product Rule

Exponent Review with the Product Rule

Multiple Choice

 $10\times10\times10\times10\times10=$  

•  $10\times5$  

•  $10^5$  

Multiple Choice

Which number is the BASE? $2^7$ =128

• 2

• 7

• 128

•  $2^7$  

Multiple Choice

What is the BASE?    $X^{10}$  

• x

• 10

• 1

• 0

Multiple Choice

 $4^2=16$  

Which number is the exponent?

• 4

• 2

• 16

• 1

Multiple Choice

What is the exponent?

 $2x^7$  

• 2

• x

• 7

• 1

Multiple Choice

If a number or variable does not have an exponent, we can assume the exponent is:

• 0

• 1

Multiple Choice

 $x^3\cdot x^4\ =$  

•  $x^{12\ }$  

•  $x^{-1}$  

•  $x^7$  

•  $x^{34}$  

Multiple Choice

 $m^2\cdot m^6\cdot m=$  

•  $m^8$  

•  $m^{12}$  

•  $m^4$  

•  $m^9$  

Multiple Choice

 $x^{-3}\cdot x^7\cdot x^2$  =

•  $x^6$  

•  $x^{12}$  

•  $x^{-42}$  

•  $x^{-12}$  

What happens when there are numbers and letters?

• Group the terms that are alike

• Multiply the coefficients

• Add the exponents that have the same base

• Write the simplified answer

Here is another one...

• Group the terms that are alike

• Multiply the coefficients

• Add the exponents that have the same base

• Write the simplified answer

Let's Look at One More...

• Group the terms that are alike

• Multiply any coefficients

• Add the exponents that have the same base

• Write the simplified answer

Multiple Choice

Simplify the expression:

3x²⋅x³=

• 3x

• 3x²

• 3x⁵

• 3x⁶

Poll

How well do you understand the product rule of exponents?

• I totally understand this!

• It makes sense but I need some more practice.

• I'm confused but I'll keep working at it.

• I'm lost! HELP ME!!

Multiple Choice

Simplify the expression:

(2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

Multiple Choice

Simplify the expression:

(6x²)(-3x⁵)

• 18x⁷

• -18x⁷

• 18x⁷

• 3x⁷

Multiple Choice

Simplify the expression:

2x³y⁵ ⋅ 5xy²

• 10x⁴y⁷

• 7x⁴y⁷

• 10x³y¹⁰

• 7x³y¹⁰