Respuesta :

Step-by-step explanation:

[tex] \frac{1}{100} = \frac{1}{ {10}^{2} } = {10}^{ - 2} \\ \\ reason \\ \: \because \: \frac{1}{ {a}^{2} } = {a}^{ - 2} \\ \\ \implies \: \frac{1}{ {10}^{2} } = {10}^{ - 2} [/tex]