Verified answer

[tex]7^{-8}[/tex]

[tex]\frac{7^{-1} *(7^{-2}* 7^{-2} )}{7^{3} }[/tex]

[tex]\frac{7^{-5}}{7^{3} }[/tex]

[tex]7^{-5-3}[/tex]

[tex]7^{-8}[/tex]

Answer:

[tex]\frac{1}{5764801}[/tex]

Step-by-step explanation:

As We See  This Question is Related to Reciprocal Equations,

in Which Meaning of Minus is Take Transfer the Number in Demominator or Vice-Versa, So  Here We Go For Solution for Equation:

[tex]\frac{7^{-1} * 49^{-2} }{7^{3}}[/tex]

                = [tex]\frac{1}{7^{1}*7^{3}*49^{2}}[/tex]

                = [tex]\frac{1}{7^{4}*{(7*7})^{2}}[/tex]

                = [tex]\frac{1}{7^{4}*{7}^{2}*{7}^{2}}[/tex]

                = [tex]\frac{1}{7^{8}}[/tex]

                = [tex]\frac{1}{5764801}[/tex]

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