Question

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

Answer 1

Given:

The expression is

$2\times 2\times 2\times 2\times 2$

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

$2\times 2\times 2\times 2\times 2=2^{1+1+1+1+1}$       $[\because a^ma^n=a^{m+n}]$

$2\times 2\times 2\times 2\times 2=2^{5}$

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