Select the correct answer.
Simplify the following expression.
(from clever )

[tex]7^{-\frac{5}{6} } . 7^{-\frac{7}{6} }[/tex] [tex]=\frac{1}{49}[/tex]
Step-by-step explanation:
[tex]7^{-\frac{5}{6} } . 7^{-\frac{7}{6} }[/tex]
[tex]=7^{-\frac{5}{6} +({-\frac{7}{6} })[/tex] [[tex]m^x. m^y = m^{(x+y)}[/tex]]
[tex]=7^{-\frac{12}{6}[/tex]
[tex]=7^{-2}[/tex]
[tex]=\frac{1}{7^2}[/tex]
[tex]=\frac{1}{49}[/tex]