Answer:
[tex]\:11.94169[/tex]
Step-by-step explanation:
[tex]((7)/(16))^(-3)[/tex]
[tex]\left(\frac{7}{16}\right)^{-3}[/tex]
[tex]=\frac{1}{\left(\frac{7}{16}\right)^3}[/tex]
[tex]\left(\frac{7}{16}\right)^3[/tex]
[tex]=\frac{7^3}{16^3}[/tex]
[tex]=\frac{343}{16^3}[/tex]
[tex]=\frac{343}{4096}[/tex]
[tex]=\frac{1}{\frac{343}{4096}}[/tex]
[tex]=\frac{4096}{343}[/tex]
≈ [tex]\:11.94169...[/tex]
