Exponents & Radicals

Productivity

100

Simplify

3x^(3)y * 7xy^3

21x^(4) y^4

200

Simplify and Evaluate:

3^(4) * 3^2

3^6 = 729

300

Simplify:

5x^(2)y^7 * -2x^(3) y

-10x^5 y^8

400

Simplify:

2x^(2) * -4x^(4)y^-4

(-8x^(6))/y^4

500

Simplify:

3x^(3) * -2xy^(4) * 4y * 5x^(2)y^(2)

-120x^(6)y^(7)

Divide and Conquer

100

Keeping your answer in positive exponents, simplify:

(x^8)/(x^7)

x

200

Simplify:

(-v)/(-2v^3)

(1)/(2v^2)

300

Simplify:

(56mn^4)/(7mn)

8n^3

400

Simplify:

(4x^(4)y^(2))/(12x^(3)y^(3))

(x)/(3y)

500

Simplify:

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

-(2x^6)/(y^4)

Power to the People

100

Keeping your answer in positive exponents, simplify: 

(a^3)^4

a^12

200

Simplify:

(3k^3)^2

9k^6

300

Simplify:

(-2n^2)^3

-8n^6

400

Simplify:

(5x^(2)y^(5))^2

25x^(4)y^(10)

500

Simplify:

((8x^(3)2y^(3))/(2x^(2)y))^(2)

64x^(2)y^(4)

Think Positive

100

Simplify:

4p^-3

(4)/(p^3)

200

Simplify:

-6m^-5

-(6)/m^5

300

Keeping your answer in positive exponents, simplify:

((u^3v^-8u^-2)/(5x^2u^-10v^9))^0

1

400

Simplify:

(3x^(-3))/y^-6

(3y^6)/x^3

500

Simplify:

2k^-1 * (3k^4)^3

54k^11

Radical Dude!

100

Between which 2 integers is the value of -√151

Between -12 and -13

200

Simplify:

sqrt(27)

3sqrt(3)

300

sqrt(80)

4sqrt(5)

400

What is the name of of the number under the radical sign?

Radicand

500

Simplify:

sqrt(243)

9sqrt(3)