Exponents and Such

Multiplying Exponents

100

x² * x⁵

x⁷

200

x^-3 * x^-7

1/x¹⁰

300

2x⁵ * 6x^-3

12x²

400

15x^-8 * 6x⁴

90/x⁴

500

14x⁵y^-3 * 3x^-7y⁴

42y/x²

Dividing Exponents

100

x⁹ / x⁵

x⁴

200

x^-5 / x ⁸

1/x¹³

300

4x⁵ / 2x^-4

2x⁹

400

27x⁵ / 81x⁷

1/3x²

500

144x⁸y^-4 / 12x¹²y^-6

12y²/x⁴

Power to a Power

100

(x³)⁴

x¹²

200

(x^-5)⁶

1/x³⁰

300

(5x^-8)³

125/x²⁴

400

(11x⁷)^-2

1/121x¹⁴

500

(2x^-7y¹²)^-5

x³⁵/32y⁶⁰

Find the Error

100

Hayden said that 2⁵ = 10. Please explain his error and give the correct answer.

32

200

Trinity said that x¹² / x⁴ = x³. Please explain her error and give the correct answer.

x⁸

300

Caleb said that 4x⁴ * 5x⁴ = 20x¹⁶. Please explain his error and give the correct answer.

20x⁸

400

Adriona said that (4x²)³ = 64x⁸. Please explain her error and give the correct answer.

64x⁶

500

Marlee said that 44x^-4y⁷ * 2x^-4y^-3 = 88x⁸y⁴. Please explain her error and give the correct answer.

88y⁴/x⁸

Hodgepodge

100

How old is the sun?

4.5 - 5 Billion years old

200

Mike the Chicken had his head chopped off. How many months did he live after that?

18 months

300

How many times would you have to fold a piece of paper for it to reach the moon?

42 times

400

Who was the 36th president of the United States?

Lyndon B. Johnson

500

How much does a cloud (typically) weigh?

1.1 million lbs.