Exponents Review

Simplifying, +, and - Polynomials

1

Clue: a polynomial has many of these things (say "what is...")

What is "terms"

2

What is 14x⁵ - 8x⁵?

6x⁵

5

What is 8x⁵ + 4x⁴ - 5x⁵?

 3x⁵ + 4x⁴

10

What is 8x⁵ + 4x⁴ - 5x⁵ - (8x⁵ + 4x⁴ - 5x⁵)?

0

20

DAILY DOUBLE

What is 65x⁷ + 42x⁸ - 85x⁶ + (23x⁸ - 45x⁷ + 35x⁶)?

65x⁸ + 20x⁷ - 50x⁵

x and / with powers

1

What is (x²)(x³)

x⁵

2

What is (x²)(x⁷)(x¹¹)

x²⁰

5

What is (x²y²)(x¹⁰y⁸)

x¹²y¹⁰

10

What is x¹⁰/x⁶

x⁴

20

What is (x¹⁰y⁸)/(x²y²)

x⁸y⁶

Special Powers

1

What is x¹?

x

2

What is x⁰?

1

5

What is (34x⁸ - 12x⁵ + 4x⁶ - 5x⁷)⁰?

1

10

What is x^-1?

1/x

20

What is (34x⁸ - 12x⁵ + 4x⁶ - 5x⁷)¹?

34x⁸ - 12x⁵ + 4x⁶ - 5x⁷

x and / mono and poly

1

Clue: a monomial has _____ (this many) terms (say "what is...")

What is "one"

2

What is 2x⁵(3x⁶)(4x⁹)?

24x²⁰

5

What is 6x²y⁵(2xy⁶)(2x⁹y)?

24x¹²y¹²

10

What is (2x+5)(6x²+3)

12x³ + 30x² + 6x + 15

20

DAILY DOUBLE

What is (10x + 7)(3x² - 5x + 12)?

30x³ - 29x² - 85x + 84

Powers to powers

1

What is (x²)⁵?

x¹⁰

2

What is (x²)²)²)²)²)

x³²

5

What is (2x²)⁵?

64x¹⁰

10

What is (4x²y³)⁴?

256x⁸y¹²

20

What is (2x + 1)²?

4x² + 4x + 1