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

Sagot :

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].

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