Respuesta :

Answer:

[tex] - 76\frac{1}{2} [/tex]

Step-by-step explanation:

to understand this

you need to know about:

  • pre-algebra
  • PEMDAS

given:

  • [tex] \frac{a}{b} - {a}^{b} [/tex]
  • [tex]a = 9[/tex]
  • [tex]b = 2[/tex]

let's solve:

[tex]step - 1 : define[/tex]

[tex] \frac{a}{b} - {a}^{b} [/tex]

[tex]step - 2 : \\ substitute \: the \: given \: value \: of \: a \: and \: b \: into \: the \: equation[/tex]

[tex]step - 3 : simplify [/tex]

[tex] \frac{ 9 }{2} - {9}^{2} [/tex]

[tex] \frac{9}{2} - 81[/tex]

[tex] \frac{9 - 162}{2} [/tex]

[tex] - \frac{153}{2} [/tex]

[tex] - 76\frac{1}{2} [/tex]