Index Laws Review

Which of the following terms do mathematicians consider synonyms for indices? (singular: index)

• powder, odour, exponent

• order, superscript, initial

• exponent, power, order

• exponent, order, magnitude

Which is the base and which is the index? 5²

• 5 is the base and 2 is the index

• 5 is the base and the index

• 2 is the base and 5 is the index

• 2 is the base and index

An index number indicates

• the number of times you multiply a number by itself

• the number of times you add a number to itself

• the numerator of a fraction

• where to look up the reference for a number

We can re-write  $a\times a\times a\times a$  as:

•  $4a$  
  

•  $a^4$  

•  $a4$  

• a^4

•  $a_4$  

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

What is 4⁵ in simplified form?

• 4 x 5

• 4 x 4 x 4 x 4 x 4

• 1024

• 5 x 5 x 5 x 5 x 5

Any number ( $n$ ) can be written with an index of 1 ( $n^1$  ) without changing its value ( $n=n^1$  ).

• True

• False

• Sometimes

When a base has an index of 1 ( $n^1$ ), the 1 is usually left unwritten ( $n$ ).

• True

• False

• Sometimes

We can add indices with different bases by adding their bases, then adding their exponents:  $2^4+5^3=7^7$ .

• True

• False

• Sometimes

 $2^4+5^3=$ 

•  $2^4+5^3$  

•  $7^7$  
  

•  $25^{43}$  
  

• 141

• 823543