Given:
The expression is
[tex]2\times 2\times 2\times 2\times 2[/tex]
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
[tex]2\times 2\times 2\times 2\times 2=2^{1+1+1+1+1}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]2\times 2\times 2\times 2\times 2=2^{5}[/tex]
Therefore, the index notation of the given expression is [tex]2^5[/tex].