Multiple Exponent Properties

Mystery L1 & L2

100

(2^3)*(2^5)

(2^7) or 128

200

-4x^3y^-1

(-4x^3)/y

300

Simplify the expression below.

(2x^3)^0

1

400

-4yx^4*3x^-4y^3

-12y^4

500

Simplify the expression below

3^-2r^-4t^2

t^2/(9r^4)

Two in One!

100

Simplify the expression below.

(3x*2x^4)/x^2

6x^3

200

Simplify the expression below.

(xy^2)^3*xy^4

x^4y^10

300

Simplify the expression below.

(z^5/z^8)^2

1/z^6

400

Simplify the expression below.

((x^2y^-3)/y^2)^-5

y^25/x^10

500

Simplify the expression below.

(x^2y^4)^2*(3x^5y)^2

9x^14y^10

Power Property

100

Simplify the expression below. 

(x^3y)^2

x^6y^2

200

Simplify the expression below.

(3^2)^4

6561

300

Simplify the expression below.

(4x^3y^5)^2

16x^6y^10

400

Simplify the expression below.

(r^-4)^-2

r^8

500

Simplify the expression below.

(4x^-2y^4)^3

(64y^12)/x^6

I spy thy Property

100

Which Property is used by the student between to simplify from Step 1 to step 2.

Step 1: 

 (x^-3y^8)/(x^-7y^4)

Step 2:

x^4y^4

Quotient Property

200

The following is not a correct implentation of the Product Property. 

Correctly complete the problem and explain what went wrong. 

4^2 * 4^3 !=16^5

When using the product property you do not change the value of the bases!

Correct Answer 

4^5=1024

300

The following is not a correct implentation of the Quotient Property. 

Correctly complete the problem and explain what went wrong.

Step 1:  (x^-3y^-1)/(x^-4y^6)!=x/y^-7 

Correctly Applying Division Property exponents on y, -1 - 6 = -7 but this result goes in numerator.

xy^-7 

400

The following is not a correct implentation of the Power Property. 

Correctly complete the problem and explain what went wrong.

(3x^3y^4)^2!=6x^5y^6

Correct: Miscalculation of Power Property on coefficient and variable bases.

3^2x^6y^8 =9x^6y^8

500

Identify the properties between each math step. (SCROLL)

Step A:  (3x^5*2y^3)/x^-1 

            Property AB: ________

Step B:  (6x^5*y^3)/x^-1 

            Property BC: ________

Step C:  6x^5*y^3x^1 

            Property CD: ________

Step D:  6x^6y^3 

Property AB: Multiply Coefficients

Property BC: Negative Exponent Property

Property CD: Product Property

Trivia

100

Calico cats must be which gender

Female

200

Scotland's National Animal is...

Unicorn

300

This past week over $40k of which grocery staple was stolen from a Pennsylvania distributor?

A. Eggs

B. Cheddar Cheese

C. Toilet Paper

Eggs

400

Woodstock Willie made his first public appearance, What did he predict?

An early Spring.

500

In a blockbuster trade, All Star Luke Doncic was dealt by Dallas to which NBA Team?

Los Angeles Lakers