Reciprocal of a Rational Number

Simplify and express as a rational number: ${\left[{\left(\frac{4}{7}\right)}^{-1}-{\left(\frac{3}{4}\right)}^{-1}\right]}^{-1}$

Simplify and express as a rational number: ${\left[{\left(\frac{1}{2}\right)}^{-1}\times {\left(-3\right)}^{-1}\right]}^{-1}$

Simplify and express as a rational number: ${\left(\frac{3}{5}\right)}^{-1}÷{\left(\frac{-2}{3}\right)}^{-1}$

Simplify and express as a rational number: ${\left(2^{-1}+5^{-1}\right)}^2$

Simplify and express as a rational number: ${\left(2^{-1}+3^{-1}\right)}^4$

Simplify and express as a rational number: ${\left(3^{-1}+4^{-1}\right)}^2$

Express as a rational number of the form $\frac{p}{q}$: ${\left(\frac{-3}{7}\right)}^{-4}÷{\left(\frac{-5}{7}\right)}^{-5}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(\frac{5}{8}\right)}^{-2}\times {\left(\frac{4}{3}\right)}^{-3}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(\frac{-3}{5}\right)}^{-4}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(\frac{2}{3}\right)}^{-3}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(\frac{1}{5}\right)}^{-5}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(-2\right)}^{-4}$

Express as a rational number of the form $\frac{p}{q}$: $7^{-3}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(\frac{-1}{9}\right)}^{-1}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(\frac{1}{7}\right)}^{-1}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(-5\right)}^{-1}$

Express as a rational number of the form $\frac{p}{q}$: ${\left(3\right)}^{-1}$