1 raised to the power -3 divided by 7 raised to -3

asked by guest
on Oct 25, 2024 at 2:30 am



You asked:

Evaluate the expression: \(\frac{{1}^{-3}}{{7}^{-3}}\)

MathBot Answer:

\[\frac{{1}^{-3}}{{7}^{-3}} = 343\]


\[\begin{aligned}\frac{{1}^{-3}}{{7}^{-3}}& = 1^{-3} \cdot \frac{1}{\frac{1}{7^{3}}}\\& = 1 \cdot \frac{1}{\frac{1}{7^{3}}}\\& = 1 \cdot \frac{1}{\frac{1}{343}}\\& = 343\end{aligned}\]