Rational Exponents

write in radical form

100

3^1/2

What is square root of 3

200

(ab)^1/4

fourth root of (ab)

300

a^2/3

1 over the 5th root of a to the 8th

400

t^-2/7

1 over the 7th root of t squared

500

(2y)^-2/3

1 over the cube root of 4y²

simplify each expression no calculator

100

64^1/2

8

200

32^1/5

2

300

(-5)^1/3 * (-5)^1/3 * (-5)^1/3

-5

400

8^1/4 * 32^1/2

fourth root of 8192 or 9.5

500

18^1/2 * 98^1/2

42

random

100

2(2x)^1/3 +1=5

4

200

m^12/5

fifth root of m¹²

300

x^1/2 * x^1/3

x^5/6

400

1=(3+x)²

-4,-2

500

(-i)² no calculator

1

write in simplest form

100

the 8th root of 0

0

200

(3a^1/2 b^1/3)²

9ab^2/3

300

1/x⁴ * 1/x⁶ * 1/x³

1/x¹³

400

y^5/8 divided by y^1/2

y^1/8

500

(12x⁸/75y¹⁰)^1/2

2x⁴/5y⁵

Radical equations

100

x^1/6 -2 =0

64

200

(v+15)^3/2  =512

49

300

(12x+3)^2/3=9

(2, -5/2)

400

(4x+3)^0.25 = 1

-1/2

500

(15x - 470)^-8/5 =1

157/5 and 469/15