Respuesta :

Answer:

The value of n will be:

  • [tex]n=\frac{89}{4}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{n}{2}-8^{-1}=11[/tex]

Apply the exponent rule:

  • [tex]a^{-1}=\frac{1}{n}[/tex]

so the expression  becomes

[tex]\frac{n}{2}-\frac{1}{8}=11[/tex]

Add 1/8 to both the sides

[tex]\frac{n}{2}-\frac{1}{8}+\frac{1}{8}=11+\frac{1}{8}[/tex]

[tex]\frac{n}{2}=\frac{89}{8}[/tex]

[tex]n=\frac{89}{4}[/tex]

Therefore, the value of n will be:

  • [tex]n=\frac{89}{4}[/tex]
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