Respuesta :

Answer:

[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • law of exponent
  • PEMDAS

tips and formulas:

  • [tex] {x}^{ - n} < = > \frac{1}{ {x}^{n} } [/tex]

let's solve:

[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]

[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]

[tex] \frac{ 1}{9} \times - 8[/tex]

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

3^-2 × -2^3

1/3²×-2³

1/9×-8

-8/9