Exponent Laws

Product of Powers

100

C³ * C³

C⁶

200

x³ * x⁵ * x^-2

x ⁶

300

6x^-6*3x^-2

18/(x^8)

400

a^-8 * a⁶

1/(a^2)

500

6C^-7 * 2y⁴ *2C³

(24y^4)/(c^4)

Quotient of Powers

100

(y^3)/(y^2)

y

200

(3x^5)/(x^3)

2x^2

300

(c^7)/c^10

1/c^3

400

x^7/x^-3

x^10

500

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

y^6/x^4

Power of Powers

100

(c²)³

C⁶

200

(y^-1)^-3

y³

300

(3x³)²

9x⁶

400

(x³)^-2

1/x^6

500

(3x^-1)^-3

x^3/27

Radical/Exponential Form

100

Write in exponential form

root(5)(x^2)

x^(2/5)

200

Write in radical form

x^(2/9)

root(9)(x^2)

300

Write in exponential form

sqrt(x^7)

x^(7/2)

400

Write in simplified radical form

y^(1/2)

sqrtx

500

Write in simplified radical form

1/(x^(-3/2))

sqrt(x^3)

Radical/Exponent Operations

100

Write in simplified exponential form

sqrt(x)*x^(5/2)

x^3

200

Write in simplified radical form

(x^(2/5))^4

root(5)(x^8)

300

Re-write in simplified exponential form

sqrt(x^3)*sqrt(x^-5)

1/x

400

Write in simplified exponent form

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

1/root(5)(x^2)

500

Write in simplified radical form

x^(-7/2)*root(3)(x^2)

1/root(3)(x^7)