Small Group Geometry Simplifying Expressions

Multiplying and Dividing Exponents

100

Simplify x² • x⁴

Answer: x⁶

200

MYSTERY BOX

Answer this question to steal 100 points from another team: - 2 - (-10) = ?

300

Simplify: 6x² • 5x⁸

Answer: 30x¹⁰

400

Simplify so that your answer has no negative exponents: (x^-3) / (4x^-7)

Answer: x⁷ / 4x³

500

Simplify: 8⁰ • x⁸ • 8x

Answer: 8x⁹

Power of a Power

100

Simplify: (2³)⁵ 

Write your answer in exponential form!

Answer: 2¹⁵

200

Simplify:  (x⁵)⁷

Answer: x³⁵

300

Simplify  (7²³)⁰

Answer in exponential form!

Answer: 7⁰ or 1

400

Simplify: (3k³)²

Answer: 9k⁶

500

Simplify: (6k³y)²

Answer: 36k⁶y²

Negative Exponents

100

Rewrite without negative exponents: x^-2

Answer: 1/x²

200

Rewrite without negative exponents: y^-3/y^-5

Answer: y⁵/y³

300

Write without negative exponents: (2x^-2)^-3

Answer: x⁶/8 

400

Write without negative exponents: (3x^-5y)^-2

Answer: x¹⁰/ 9y²

500

Write without negative exponents: (4x^-2y⁴)^-3

Answer: y¹² / 64x⁶

Distributive Property

100

Simplify: 3(2x + 5)

Answer: 6x + 15

200

MYSTERY BOX

200 Free Points!

300

Simplify: 5x²(x² + 2x)

Answer: 5x⁴ + 10x³

400

Simplify: 4y(2x + 6y)

Answer: 8xy + 24y²

500

Answer: 8xy + 24y²

Answer: 18x²y³ + 27x³y² + 9xy³