Product Rule
Product & Power Rule
Quotient Rule
Radical Expressions (Convert)
Mixed Problems
100

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

 

12x^(17/12)

100

(ab^(2/3))^(5/7)

a^(5/7)b^(10/21)

100

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

x

100

Convert to Rational Expression

(root(6)x)^8

x^(4/3

100

((x^(1/3)y^(2/5))*x)/y^(1/4)

x^(4/3)y^(3/20)

200

ab^(5/6)c*bc

ab^(11/6)c^2

200

a*(a^(3/5)b^(2/3))^(1/2)

a^(13/10)b^(1/3)

200

(2x^3y^(1/3))/(4xy

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

200

Convert to Rational Expression

(root(3)(7x))^4

(7x)^(4/3)

200

((x^(1/2)yz^(7/2))^(3/2))/(x^0y^(3/2)z

x^(1/2)z^(17/2)

300

Distribute and Simplify

a^(2/7)(a + b)

a^(9/7)+a^(2/7)b

300

(3sqrt x)^2

9x

300

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

1/(x^(199/72)y^(185/36

300

Convert to Radical form

(5x)^(4/7)


(root(7)(5x))^4

300

(abc*(abc)^(-7/2))/(abc*(abc)^(7/2)

1/(a^7b^7c^7

400

sqrt x * x^(1/2)

x

400

(a^(-1/2)b^(-2/5)c^(4/5))^(-2/7)

(a^(1/7)b^(4/35))/c^(8/35

400

(root(9)x)^5/(sqrt x)^3

1/(x^(17/18)

400

Convert to radical form

(root(7)(1/3x))^6

(1/3x)^(6/7)

400

(((root(3)(x))^4)/((root(5)(x))^8))^3

1/(x^(4/5)

500

root (3)(x) * 9x^(1/2)

9x^(5/6)

500

((x^(9/11)y^(1/33))/z^(-8/3))^0*a

a

500

(a^(4/3)bc^(7/2)*(ab^(-3/4))^(2/5))/(ab^(-1/2)(c^(-4/3))^2

a^(7/6)b^(6/5)c^(37/6

500

Convert to rational expression:

(root(3)(xy))^17

x^(17/3)y^(17/3)

500

(xyz)^(1/2)/(xyz)^(7/2)

1/(x^3y^3z^3