Step-by-step explanation:
[tex]\rightsquigarrow[/tex] [tex]\tt{(\dfrac{7}{5})^{-2} }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{\dfrac{1}{(\dfrac{7}{5})^2} }[/tex] ⠀
so,
[tex]\rightsquigarrow[/tex] [tex]\tt{\dfrac{1}{\dfrac{49}{35}} }[/tex] ⠀
[tex]\rightsquigarrow[/tex] [tex]\tt{\dfrac{35}{49} }[/tex] ⠀
[tex]\hookrightarrow[/tex] [tex]\tt{\dfrac{49}{35 } }[/tex] ⠀
Answer:
(5/7)^(-2)
Step-by-step explanation:
[tex](\frac{7}{5})^{-2} =\frac{7^{-2}}{5^{-2}}[/tex]
Reciprocal = [tex]\frac{5^{-2}}{7^{-2}} = (\frac{5}{7})^{-2}[/tex]
