Exponents and Polynomials

Exponents

100

5⁰

1

200

Write as an exponent:

2*p*p*4*p*p*p

8p⁵

300

Write as an exponent:

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

-12x³y²

400

What is -10²

-100

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 + 2x)

x²

200

3x² +6x  - 3x +7x

3x² +10x

300

(5xy² + 4y) - (6xy² - 5y)

-xy² - y

400

(x³ + 4x² - 2x) - (5x + 5 - 2x²)

x³ + 6x² - 7x - 5

500

(3x³y - 4x²) -  2(7x³y - 9x²)

-11x³y + 14x²

Multiplying Monomials

100

(8x)(2x)

16x²

200

(3y²)(2y³)

6y⁵

300

(4xy)(2x²y)

8x³y²

400

(-3/2x⁴)(16x⁵)

-24x⁹

500

(-7x⁴y²)(-2x²) - (2x³y)(4x³y)

6x⁶y²

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