Compare ratios: word problems

3^-4

1 answer

To compare the value of \(3^{-4}\), we can first simplify it. The expression \(3^{-4}\) can be interpreted as:

\[ 3^{-4} = \frac{1}{3^4} \]

Next, we calculate \(3^4\):

\[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \]

Thus, we have:

\[ 3^{-4} = \frac{1}{3^4} = \frac{1}{81} \]

Now, \(3^{-4}\) or \(\frac{1}{81}\) is a very small number. If you would like to compare it to other fractions, decimals, or numbers, please provide those for comparison!