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Exponents Product Rule

100

x² · x⁷

x⁹

200

(6x²)(-3x⁵)

-18x⁷

300

a · a² · a³

a⁶

400

(3x³)(3x⁴)(-3x²)

-27x⁹

500

(2a²b)(4ab²)

8a³b³

Exponents Power Rule

100

(x²)⁷

x¹⁴

200

(2x⁴)⁵

2⁵x²⁰

300

(7xy)²

7²x²y²

400

(6x⁴y⁶)³

6³x¹²y¹⁸

500

(2xy³)²

2²x²y⁶

Zero & Negative Exponents

100

x⁰

1

200

y^-7

1

y⁷

300

6x⁰y⁸

6y⁸

400

-18a²b^-3

-18a²

  b³

500

 3ba⁰

−5c⁻¹ 

 3bc

−5 

Monomials

100

6v(2v + 3)

12v² + 18v

200

−4(v + 1)

-4v - 4

300

7(−5v − 8)

-35v - 56

400

2x(x² − 2x − 3)

2x³ - 4x² - 6x

500

(-3x²)(-x² + 4x - 2)

3x⁴ - 12x³ + 6x²

Binomials

100

(5n + 6)(5n − 5)

25n² + 5n - 30

200

(3x − 4)(3x + 4)

9x² - 16

300

(4p − 1) ²

16p² - 8p + 1

400

(4a + 2)(6a² − a + 2)

24a³ + 8a² + 6a + 4

500

(n² + 6n − 4)(2n − 4)

2n³ + 8n² - 32n + 16