Question

What’s is the index notation?

Answer 1

Given:

a) 3 × 3 × 3 × 3 × 3

b) 4 × 4 × 4 × 5 × 5

c) 9 × 7 × 9 × 9 × 7 × 9

To find:

The index notation.

Solution:

a) Using multiplication rule of indices:

`a^(n) * a^(m)=a^(n+m)`

`3*3*3*3*3=3^(1+1+1+1+1)`

`=3^5`

Therefore,
`3*3*3*3*3=3^(5)`

b) Using multiplication rule of indices:

`4*4*4*5*5=4^(1+1+1)5^(1+1)`

`=4^35^2`

Therefore,
`4*4*4*5*5=4^(3)5^(2)`

c) Using multiplication rule of indices:

`9*7*9* 9*7*9=9^(1+1+1+1)7^(1+1)`

`=9^47^2`

Therefore,
`9*7*9* 9*7*9=9^(4)7^(2)`