Laws of Exponents

Product Rule

100

Simplify using the product rule: 

a^2*a^3

What is 

a^5?

200

Simplify using the product rule:

2^4*2

What is 2⁵ = 32

300

Simplify using the Product Rule:

10^3*10^(-2)

What is 

10^1?

400

Simplify using the Product Rule and Quotient Rule:

(z^5*z^3)/z^2

What is 

z^6?

500

5A^4 x -12A^6

-60A^10

Quotient Rule

100

Simplify using the Quotient Rule:

t^5/t^3

What is 

t^2?

200

Simplify using the Quotient Rule:

z^4/z

What is 

z^3?

300

Simplify using the Quotient Rule:

a^5/a^8

What is 

1/a^3?

400

Simplify using the Quotient Rule:

(54x^9y^8)/(6x^3y^4)

What is 

9x^6y^4?

500

Simplify using the Quotient Rule:

(8x^6yz^3)/(4x^4y^5z^0)

What is 

2x^2z^3/y^4

Zero and Negative Exponents Rule

100

Simplify using the Zero Exponent Rule:

b^0

What is 

1

200

Simplify using the Negative Exponent Rule:

3^-2

What is 

1/9? or 1/ 3^-2

300

Simplify using the Negative Exponent Rule:

(1/2^-3)

What is 

8 or 2^3

400

Simplify using the Zero and Negative Exponent Rules:

a^-4b^3c^0

What is 

(b^3)/a^4?

500

Simplify using the Negative Exponent Rule:

7/(x^-3y^5)

What is 

(7x^3)/y^5?