Answer:
[tex]10^{-2} = 0.01[/tex]
Step-by-step explanation:
Given
[tex]10^{-2[/tex]
Required
Standard form
[tex]10^{-2[/tex]
Apply the following law of indices
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, we have:
[tex]10^{-2} = \frac{1}{10^2}[/tex]
Express [tex]10^2[/tex] as [tex]100[/tex]
[tex]10^{-2} = \frac{1}{100}[/tex]
Using a calculator, we have:
[tex]10^{-2} = 0.01[/tex]
