Rational Exponents.. to an extent

write in radical form

100

a^(1/2)

What is square root of a 

200

(ab)^(1/4)

fourth root of (ab)

300

4^ (1/2)

What is 2

400

t^(-2/7)

1 over the 7th root of t squared

500

(27)^(-1/3)

What is 1/3

simplify each expression no calculator

100

64^(1/2)

8

200

32^(1/5)

2

300

4^-2

1/16

400

(-5)^(1/3) * (-5)^(1/3) * (-5)^(1/3)

-5

500

18^(1/2) * 98^(1/2)

42

Exponent Rules

100

What is 4^2 written out. What is the answer to the problem?

 4 x4= 16

200

What is 4^3 (4^2)

4^5 or 4x4x4x4x4= 1024

300

What is (4^3)/ (4^2)

4^1= 4

400

What is (4^3)^3

4^9= 262,144

500

Why can 3^4 (4^4) does not work?

It does not have the same base. 

write in simplest form

100

the 8th root of 0

0

200

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

9ab^(2/3)

300

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

1/x^13

400

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

y^(1/8)

500

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

2x^4/5y^5

Fractions

100

(1/2) +(1/2)

2/2= 1

200

(3/5)-(2/5)

1/5

300

(1/2) +(3/4)

5/4

400

1/7 +1/2

9/14

500

1/12 (2/6)

1/36