Product Rule
Power Rule
Quotient Rule
Power of a Product
Power of a Quotient
Zero and Negative Exponents Rule
100

Simplify using the product rule: 

a^2*a^3

What is 

a^5?

100

Simplify using the Power Rule:

(m^(3))^4

What is 

m^12?

100

Simplify using the Quotient Rule:

t^5/t^3

What is 

t^2?

100

Simplify using the Power of a Product Rule:

(2xy^5)^3

What is 

8x^3y^15?

100

Simplify using the Power of a Quotient Rule:

(1/2)^3

What is 

1/8?

100

Simplify using the Zero Exponent Rule:

ab^0

What is 

a?

200

Simplify using the product rule:

2^4*2

What is 2= 32

200

Simplify using the Power Rule:

(x^3)^2

What is 

x^6?

200

Simplify using the Quotient Rule:

z^4/z

What is 

z^3?

200

Simplify using the Power of a Product Rule:

(5x)^-2

What is 

1/(25x^2?

200

Simplify using the Power of a Quotient Rule:

((3x)/5)^2

What is 

(9x^2)/25?

200

Simplify using the Negative Exponent Rule:

3^-2

What is 

1/9?

300

Simplify using the Product Rule:

10^3*10^(-2)

What is 

10^1?

300

Simplify using the Power Rule:

(b^5)^(-3)

What is 

b^(-15) = 

1/b^15?

300

Simplify using the Quotient Rule:

a^5/a^8

What is 

1/a^3?

300

Simplify using the Power of a Product Rule:


(7z^2)^3

What is

343z^6?

300

Simplify using the Power of a Quotient Rule:

((6m^3n^5)/(7m^2n^-5))^(-2)

What is 

(49/36m^2n^20)?

300

Simplify using the Negative Exponent Rule:

(1/2^-3)

What is 

8?

400

Simplify using the Product Rule and Quotient Rule:

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

What is 

z^6?

400

Simplify using the Power Rule:

(3m^4n^5)^2

What is 

9m^8n^10 

400

Simplify using the Quotient Rule:

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

What is 

9x^6y^4?

400

Simplify using the Power of a Product Rule:

(4x^5y^-3z)^3

What is 

(64x^15z^3)/y^9?

400

Simplify using the Power of a Quotient Rule:

((5n^4*2m^3)/(8n^2))^(4)

What is 

(625m^12n^8)/256

400

Simplify using the Zero and Negative Exponent Rules:

a^-4b^3c^0

What is 

(b^3)/a^4?

500

x^3y^5*x^8y^4z


What is 

x^11y^9z?

500

Simplify using the Power Rule:

(7x^3)^2*(x^4)^(3)

What is 

49x^18?

500

Simplify using the Quotient Rule:

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

What is 

2x^2z^3/y^4

500

Simplify using the Power of a Product Rule:

((1/3)xz^3)^2

What is 

(1/9)x^2z^6?

500

Simplify using the Power of a Quotient Rule:

(5^-3/(2*5^-4x^2))^(2)

What is 

25/(4x^4)?

500

Simplify using the Negative Exponent Rule:

7/(x^-3y^5)

What is 

(7x^3)/y^5?