Mr. Kisling HCS Edited template from someone else

Simplifying Radical Form

100

Simplify

sqrt(36)

 using rational exponents.

6

200

Simplify

root(4)(16)

 using rational exponents.

2)

300

Simplify

root(3)(-27)

 using rational exponents.

-3

400

Simplify

root(3)(3^2)

 using rational exponents.

3^(2/3)

500

Name one artist in Mr. Kisling's top 5 artists on Spotify Wrapped this year.

Options: Switchfoot, the Arcadian Wild, Jon Bellion, Ben Rector, Nickel Creek.

Conversion Between Rational Exponent Form and Radical Form

100

Convert

y^3.5

 to radical form.

sqrt(y^7)

200

Convert

(root(5)(b))^3

 to exponential form.

b^(3/5)

300

Convert to exponential form.

sqrt(a^5)

a^(5/2)

400

Convert to exponential form.

root(4)(x^3)

x^(3/4)

500

Convert to radical form.

w^(-5/8)

1/(root(8)(w^5))

Simplest Form

100

Simplify.

5^(1/2)*5^(1/2)

5

200

Simplify.

25^(-3/2)

1/125

300

Simplify.

4^(-3.5)

1/128

400

Simplify.

sqrt(11)(root(4)(11))

root(4)(1331)

500

Simplify.

(root(3)(x))/(root(6)(x^5))

(sqrt(x))/x

Multiplying & Dividing

100

root(3)(6)*sqrt(2)

Cannot multiply; Different indexes

200

sqrt(72x^3y^2)*sqrt(10xy^3)

12x^2y^2sqrt(5y)

300

(sqrt(18x^5))/(sqrt(2x^3))

3x

400

sqrt(45x^5y^4)*sqrt(35xy^4)

15xy^4sqrt(7x^5)

500

(root(3)(162y^5))/(root(3)(3y^2))

3yroot(3)(2)

Misc

100

17root(5)(3x^2)-15root(5)(3x^2)

2root(5)(3x^2)

200

root(3)(250)+root(3)(54)-root(3)16

6root(3)(2)

300

Mr. Kisling's favorite cartoon.

What is Phineas and Ferb?

400

In Mr. Kisling's opinion, Peter Jackson's adaptations of the Lord of the Rings ruined this character.

Who is Faramir?

500

Simplify.

(root(3)(125x^5y))/(root(3)(10x^3))

(root(3)(100x^2y))/2