The given expression is
[tex](\frac{1}{7})^3[/tex]In order to evaluate this expression, we need to use the following property
[tex](\frac{a}{b})^n=\frac{a^n}{b^n}[/tex]That is, we must assign the exponent number to each part of the fraction, then we solve
[tex]\frac{1^3}{7^3}=\frac{1\cdot1\cdot1}{7\cdot7\cdot7}=\frac{1}{343}[/tex]