Indices Jeopardy

Index Notation

100

Evaluate 5³

125

200

Identify the base and index of the following powers: 

3⁴

Base: 3

Index: 4

300

Write in a³ expanded form

a × a × a

400

Write in expanded form and then evaluate

(-2)⁶

-2 × -2 × -2 × -2 ×-2 × -2 = 64

500

Write the following in index form: 

 ⅘ × ⅓ × ⅓ × ⅘ × ⅓ × ⅘ × ⅘

(⅓)³(⅘)⁴

Index Laws

100

Solve the following: 

1. a⁴ × a³

2. b⁶ ÷ b²

3. (y³)⁶

1. a⁷

2. b⁴

3. y¹⁸

200

Simplify: 2x⁷ × 7x³ 

14x¹⁰

300

Simplify: -9z⁰

-9

400

Simplify: (6a⁷b⁵) ÷ (3a²b⁴)

2a⁵b

500

Simplify

-3(2a³b⁴c)²

-12a⁶b⁸c²

Negative Indices

100

Simplify 

x^-7 ÷ x^-3

x^-4

200

Express the following using positive indices.

9ab^-3

(9a)/(b³)

300

Write with a negative index

1/(2³)

2^-3

400

ab^-5c³ is equal to

(ac³)/b⁵

500

Express with positive indices

(4a^-6)^-2

(a¹²)/16

Scientific Notation

100

Scientific notation has the form a × 10^m. What are the conditions placed on the values of a and m?

a is a number greater than 1 and less than 10

m is an integer

200

Express this number in scientific notation. 

13 700 000 000

1.37 × 10¹⁰

300

Express this number in scientific notation

0.000 000 61

6.1 × 10^-7

400

Express these numbers as basic numerals

8.5 × 10⁴

85 000

500

Express these numbers as basic numerals

9.31 × 10^-6

0.000 009 31

Significant Figures

100

State the number of significant figures in this number: 

508

3 significant figures

200

State the number of significant figures in this number: 

0.00019

2 significant figures

300

State the number of significant figures in the number: 

3.1500

5 significant figures

400

Write this number using scientific notation to three significant figures. 

0.00034276

3.43 × 10^-4

500

Write this number in scientific notation to three significant figures: 

2 186 000

2.19 × 10⁶