Answer:
see the explanation
Step-by-step explanation:
we know that
if you have a fraction that is raised to a negative exponent, simply flip the fraction to write a positive exponent
so
[tex](\frac{a}{b})^{-x} =(\frac{b}{a})^{x}[/tex]
If the exponent is -1
then
[tex](\frac{a}{b})^{-1} =(\frac{b}{a})^{1}=\frac{b}{a}[/tex] ----> is the reciprocal of the original fraction
Examples
[tex]\frac{3}{8}[/tex]
[tex](\frac{3}{8})^{-1} =\frac{8}{3}[/tex]
[tex]\frac{1}{4}[/tex]
[tex](\frac{1}{4})^{-1} =\frac{4}{1}=4[/tex]
[tex]\frac{1}{6}[/tex]
[tex](\frac{1}{6})^{-1} =\frac{6}{1}=6[/tex]
