5.1 Practice

Rewrite using Rational Exponent Notation

100

sqrt7

7^(1/2)

200

root(3)2

2^(1/3)

300

root(3)(x^2)

x^(2/3)

400

root(3)(6^4

6^(4/3)

500

root(5)(3^10)

9

Rewrite using Radical Notation

100

x^(1/2)

sqrtx

200

3^(1/3)

root(3)3

300

4^(4/7)

root(7)(4^4

400

y^(3/5)

root(5)(y^3

500

5^(7/2

sqrt(5^7)

Evaluate without a Calc

100

root(3)(1

1

200

sqrt20

2sqrt5

300

root(3)(54)

3root(3)2

400

root(4)(16)

2

500

3sqrt12

6sqrt3

Solve

100

x^3=27

x=3

200

y^2=16

y=4, -4

300

(3x+2)^2=25

x=1, -7/3

400

-3x^3=-24

x=2

500

2x^2=50

x=5, -5

Simplify

100

sqrt(81x^2

9x

200

sqrt(25x^4y^2)

5x^2y

300

root(3)(16x^9

2x^3root(3)(2)

400

root(3)(64a^3b^6c^9

4ab^2c^3

500

root(4)(32x^7

2xroot(4)(2x^3