Question

Express 2 x 2 x 2 x 2 x 2 in index notation.

Answer 1

Given:

The expression is

`2* 2* 2* 2* 2`

To find:

The index notation of the given expression.

Solution:

Index: The power of a number and a variable is called its index.

Index notation: The expression which has a base and a power.

In the given expression 2 is multiplied 5 times, so by using the property of exponent we get

`2* 2* 2* 2* 2=2^(1+1+1+1+1)`
`[\because a^ma^n=a^(m+n)]`

`2* 2* 2* 2* 2=2^(5)`

Therefore, the index notation of the given expression is
`2^5`.