Simplifying Radicals and Rational Exponents

Square roots

100

√225

15

200

5√ 150

25√ 6

300

3√252k⁵

18k²√7k

400

3√49x⁹y¹⁶

21x⁴y⁸√x

500

√600p⁹q¹⁶

10p⁴q⁸√6p 

Cubed Roots

100

 ∛216

6

200

 ∛875

5∛7 

300

2∛192p⁷q¹⁸

8p²q⁶∛3p

400

 ∛-625m²⁸n¹²

-5m⁹n⁴∛5m

500

 ∛250a¹⁵b²

5a⁵∛2b²

Fourth Roots

100

∜625

5

200

6∜405

18∜5

300

-2∜80x⁸y⁹z

-4x²y²∜5yz

400

5∜112c²⁴d¹³

10c⁶d³∜7d

500

∜144m⁷

2m∜9m³

Exponential and Radical Form

100

28^1/2

√28

200

2^4/3

 ∛2⁴

300

(256x)^1/4

4∜x

400

4√10³

10^3/4

500

∜18x⁶y²

18^1/4 x^3/2 y^1/2