Exponent Laws

Multiplication & Division Law

100

Perform the following multiplication: (x)(x⁴)

x⁵

200

Perform the following division and simplify your answer: 

(x^2y^10)/(xy^5)

xy⁵

300

Perform the following multiplication: (-4y⁵)(7x³)

-28x³y⁵

400

Perform the following division and simplify the result using positive exponents only: 

(9xy^5z^7)/(-12xy^10z)

-(3z^6)/(4y^5)

500

Perform the following division and simplify the result using positive exponents only: 

(18x^3y^3)/(-24x^9y^3)

-(3)/(4x^6)

Power of a Power Law

100

Perform the following operation: 

(3x^5)^3

27x¹⁵

200

Perform the following operation: 

(x/3)^2

x^2/9

300

Perform the following operation: 

((5xy^2)/(4))^3

(125x^3y^6)/(64)

400

Perform the following operation: 

((1)/(x^2yz^3))^4

(1)/(x^8y^4z^12)

500

Perform the following operation: 

((x^4y^3)/(z^2))^0

1