6.2 Radicals and Rational Exponents

Rational to Radical Remix

100

Rewrite x^1/2 as a radical

√x

200

Rewrite x^1/3 as a radical

³√x

300

Rewrite x^2/3 as a radical

(³√x)²

400

Rewrite 16^3/4 as a radical expression

(⁴√16)³

500

Rewrite 125^4/5 as a radical expression

(⁴√125)⁵

Radical to Exponential Upgrade

100

Rewrite √x as rational exponent

x^1/2

200

Rewrite ⁸√x as a rational exponent

x^1/8

300

Rewrite √x⁵ as a rational exponent

x^5/2

400

Rewrite ⁴√x³ as a rational exponent

x^3/4

500

Rewrite ⁶√x⁵ as a rational exponent

x^5/6

Even Root Extraction

100

Find √16

±4

200

Find ⁴√81

±3

300

Find ⁶√64

±2

400

Find (⁴√16)³

8

500

Find ⁸√256

±2

Odd Root Realness

100

Find ³√27

3

200

Find ⁵√32

2

300

Find ⁷√128

2

400

Find ³√-125

-5

500

Find ⁹√-512

-2

Radical and Rational Showdown

100

Rewrite x^1/5 as a radical expression

⁵√x

200

Find ³√-27

-3

300

Rewrite ⁵√x⁶ as a rational exponent

x^3/2

400

Find 64^2/3

16

500

Find 243^4/5

81