Aeolian Aeolian
  • 14-03-2021
  • Mathematics
contestada

Express the following in the form 10where n is an integer 10−8 × 10−6

Respuesta :

erinna erinna
  • 19-03-2021

Given:

The given expression is:

[tex]10^{-8}\times 10^{-6}[/tex]

To find:

The expression in the form of [tex]10^{-n}[/tex].

Solution:

We have,

[tex]10^{-8}\times 10^{-6}[/tex]

It can be written as

[tex]10^{-8}\times 10^{-6}=10^{-8+(-6)}[/tex]        [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]10^{-8}\times 10^{-6}=10^{-8-6}[/tex]

[tex]10^{-8}\times 10^{-6}=10^{-14}[/tex]

Therefore, the required value is [tex]10^{-14}[/tex].

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