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]