Exponents and Polynomials

Exponents

100

Write (5)(5)(5) as an exponent 

5³

200

Write as an exponent:

2(p)(4)(p)

8p²

300

Write as an exponent:

3(x)(4)(y)(x)

12x²y

400

What is x³ if  x=3 ?

27

500

What is x⁴ if x = -2

16

Adding Polynomials

100

Add (2x + 3) + (x +1)

3x+4

200

Add  (7n-6)  + (n+4)

8n-2

300

Add (3y +8) + (2y - 5)

5y+3

400

Add (5n²  - 4n + 1) + (3n² - 2n  +9)

8n² - 6n +10

500

Add:

(2x²y - 3xy² - y³) + (2x²y - yx²)

4x²y -xy² -y³

Subtracting Polynomials

100

4x² + 2x - 3x²

x² +2x

200

3x² +6x  - 3x +7x

3x² +10x

300

5y² +4y - 6y² - 5

-y² +4y - 5

400

x³ +4x² -5x + 5 - 2x²

x³ +2x² +5

500

3x³ -4x² + 7x - 9

3x³ -4x² + 7x - 9

Multiplying Monomials

100

(8x)(2x)

16x²

200

(3y²)(2y³)

6y⁵

300

(4xy)(2x²y)

8x³y²

400

(-2x⁴)(x⁵)

-2x⁹

500

(-7x⁴y)(-2x²)

14x⁶y

Powers of Monomials

100

Simplify  (a²)³

a⁶

200

Simplify  (t³)⁴

  t¹²

300

Simplify (3x²)²

9x⁴

400

Simplify (-2x⁴)³

-8x¹²

500

Simplify (-3xy²)²

9x²y⁴