Simplifying Jeopardy

Exponential Expressions

100

8m⁰ + 8⁰

9

200

n^-2 + (1/n)^-2

n⁴ + 1 / n²

300

[(6a^-4)(5a²)] / [(10a^-3)(3a^-4)]

a⁵

400

[(2n^-1)(2n^-2)^-2] / [(n^-3)^-4(2n^-3)³]

1/16

500

[(e² - 1)^-1 + 1][(e - 1)^-1 + 1]^-1

(e³ - e²) / (e³ - e)

Radical Expressions

100

∜80

2 x ∛100

200

√17/√18

√34/6

300

∛270+∛80

5∛10

400

∛48a⁴⁸

2a¹⁶ x ∛16

500

14 x ∛9 / ∛80

7 x ∛150 /5

Rational Expressions

100

(2b+1)(2b-1)/(c+16)(2b+1)

2b-1/c+16

200

b²-4b/b²+b-20

b/b+5

300

x(a+b)-2(a+b)/2-x

-(a+b)

400

m²-2m-8/m²-5m+6 / m²-3m-4/m²-9

(m+2)(m+3)/(m-2)(m+1)

500

(x-1/3x)^-2 * (1-x/2)³

ax²(1-x)/8

Factoring Polynomials

100

a² + 13a + 30

(a + 10) (a + 3)

200

m² - n² - 3m - 3n

(m + n) (m - n - 3)

300

37n⁵ - 12 + 10n¹⁰

(10n⁵ - 3) (n⁵ + 4)

400

-36n⁴w + 42n³w³ + 60n²w⁵

-6n²w (6n + 5) (n - 2)

500

ac³ + abc² - 2ac² - bc³ - b²c² + 2bc²

c² (a - b) (c + b - 2)