Respuesta :

Step-by-step explanation:

using a positive exponent

4^-9 = 1/ 4^9

>> Exponent

__________

[tex] \: [/tex]

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

  • Step by step :

[tex] {4}^{ - 9} = ...[/tex]

[tex] \longmapsto \frac{1}{ {4}^{9} } [/tex]

[tex] \longmapsto \frac{1}{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4} [/tex]

[tex] \longmapsto \blue{ \frac{1}{262.144}} [/tex]