Exponent Properties

Integer Exponents

100

Evaluate: 8^0

1

200

Evaluate: 3^-4

1/81

300

Evaluate: -7^-2

-1/49

400

Simplify: 4(x^-6)(y^-2)

4/x^6y^2

500

Simplify: 3w^-5/x^-6

3x^6/w^5

Combined Properties

100

(x^(-1)y)/(xy^(-2))

What is y^3/x^2

200

(4x^(2)y^(5))^(-2)

What is 1/(16x^(4)y^(10))

300

(y^10)/(2x^3) * (20x^(14))/(xy^(6))

What is x^10y^4

400

(3x^25y^-4)^0 * (xy^9)/(3y^-2) * (-7y)/(21x^5)

y^12/9x^4

500

(12xy)/(7x^4) * (7x^5y^2)/(4y)

3x^2y^2

Multiplication Properties

100

n^6 * n^2

n^8

200

a^3 * a^6 * a^-5

a^4

300

(x^5)^4

x^20

400

(5w^8)^2

25w^16

500

(p^4q^2)^7

p^28q^14

Division Properties

100

3^9/3^6

3^3

200

x^8y^4/x^3y^3

x^5y^1

300

(2/3)^4

(16/81)

400

(a^4/b^2)^3

a^12/b^6

500

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

y^25/x^10