Respuesta :

ANSWER

[tex] {12}^{ - 2} [/tex]

EXPLANATION

The given expression is

[tex] \frac{1}{144} [/tex]

This is the same as:

[tex] \frac{1}{12 \times 12} [/tex]

In index notation, we write this as

[tex] \frac{1}{ {12}^{2} } [/tex]

To write this as a negative index, we use the property:

[tex] \frac{1}{ {a}^{m} } = {a}^{- m} [/tex]

This implies that;

[tex]\frac{1}{ {12}^{2} } = {12}^{ - 2} [/tex]