Index Laws

Index Laws

Multiple Choice

4⁶ in expanded form is...

• 4 x 6

• 4 x 4 x 4 x 2

• 4 x 4 x 4 x 4 x 4 x 4

• 4 x 3 x 2

Multiple Choice

5³ in expanded form is....

• 5 x 5 x 5

• 5 x 3

• 5 x 1 x 1 x 1

Multiple Choice

3 x 3 x 3 in index form is....

• 3²

• 3³

• 18

• 9

Multiple Choice

8 x 8 in index form is...

• 64

• 16

• 8²

• 8 x 2

Multiple Choice

3² x 3⁷

• 3¹⁴

• 3⁹

• 3⁵

Multiple Choice

7⁹ x 7¹¹

• 7²⁰

• 7²

• 7⁹⁹

Multiple Choice

5³ x 5^-5

• 5¹⁵

• 5^-2

• 5⁸

Multiple Choice

9⁹ ÷ 9²

• 9⁷

• 9¹¹

• 9¹⁸

Multiple Choice

4¹⁷ ÷ 4¹²

• 4²⁹

• 4⁵

• 4^-5

Multiple Choice

g¹⁵ ÷ g¹² ÷ g²

• g³⁹

• g²

• g³

Multiple Choice

(8³)¹²

• 8³⁶

• 8²⁵

• 8¹⁵

• 8⁹

Multiple Choice

(9²)¹⁵

• 9¹³

• 9¹⁷

• 9³⁰

Multiple Choice

(10⁷ )^-2

• 10⁵

• 10^-14

• 10¹⁴

Multiple Choice

What is 4⁵ in expanded form?

• 4 x 5

• 4 x 4 x 4 x 4 x 4

• 1024

• 5 x 5 x 5 x 5 x 5

Multiple Choice

Write 2 x 2 x 2 x 2 in index form

• 2³
• 2⁵
• 16
• 2⁴

Multiple Choice

Simplify the following using Index Laws,
 $3^{21}\ \ \div\ \ 3^7$ 

•  $3^{14}$  

•  $3^3$  

•  $3^{28}$  

•  $x^{14}$  

Multiple Choice

Index laws only apply when the

Base (big number) is the same

• True

• False

Multiple Choice

(10³)⁶

• 10¹⁸
• 30⁶
• 10⁹
• 30³

Multiple Choice

Write 2 x 2 x 2 x 2 in index form

• 2³
• 2⁵
• 16
• 2⁴

Multiple Choice

Simplify: b¹⁷ x b⁵

• b²²

• b⁸⁵

• (b²)²²

• b¹²

Multiple Choice

Simplify: 2⁸ ÷ 2²

• 2⁶

• 2⁴

• 2¹⁰

• 1

Multiple Choice

What is the correct law for powers of powers? (a^m)ⁿ =

• a^m x aⁿ

• a^{m x n}

• a^m+n

• a^men

Multiple Choice

What is the correct law for division? a^m ÷ aⁿ =

• a^m-n

• a^m - aⁿ

• a^m÷n

• a^m/n

Multiple Choice

What is the correct law for multiplication? a^m x aⁿ =

• a^m+n

• a^m + aⁿ

• a^mxn

• a^mn

Multiple Choice

7⁰

• 7

• 1

• 0

• 70

Multiple Choice

3⁴ x 3⁵ x 5² x 5⁵

• 3²⁰ x 5¹⁰

• 3⁹ x 5¹⁰

• 15¹⁶

• 3⁹ x 5⁷