Rational Exponents

Radical vs Exponential form

100

a^(1.5)

sqrta^3

200

root(4)(ab)

(ab)^(1/4)

300

a^(-1.6)

1/root5(a^8

400

1/root7t^2

t^(-2/7)

500

(2y)^(-2/3)

1/root3(2y)^2

Simplify Rational Exponents

100

root8 0

0

200

1/(x^4) * 1/(x^6) * 1/(x^3)

1/x^13

300

y^(5/8) / y^(1/2)

y^(1/8)

400

(3a^(1/2) b^(1/3))^2

9ab^(2/3)

500

((12x^8)/(75y^10))^(1/2)

(2x^4)/(5y^5

Evaluate Rational Exponents (give me a number)

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))/16^(1/5))^0)^(1/2)

1

500

18^(1/2) * 8^(1/2)

12

Rationalize the Denominators

100

1/sqrt3

sqrt3/3

200

a/root3 b^2

(aroot3b)/b

300

2/root5 a^3

(2root5 a^2)/a

400

(5root3 6) / root3 25

root3 30

500

1/(sqrt3+sqrt2)

sqrt3-sqrt2

Mix

100

1000000^(1/6)

10

200

root3 (-216)

-6

300

root4 (-81)

DNE

even root of a negative number

400

(-343)^(-4/3

1/2401

500

When is your exponent quiz?

Per 1: Thursday

Per 8: Friday