Problem

DERIVITA
ZION HUNKIN
Given that $y=5^{x}$, find the missing output values for the following table.
\begin{tabular}{|c|c|}
\hline$x$ input & $y$ output \\
\hline 1 & \\
\hline 2 & \\
\hline 3 & \\
\hline 4 & \\
\hline 5 & \\
\hline
\end{tabular}
Enter your answers in the order they would appear in the table, top to bottom, separated by commas.
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Answer

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Answer

\(\boxed{The missing output values for the table are 5, 25, 125, 625, 3125}\)

Steps

Step 1 :Given the function \(y=5^{x}\), we are asked to find the output values for the input values 1, 2, 3, 4, and 5.

Step 2 :Substitute each input value into the function and calculate the result.

Step 3 :For \(x=1\), \(y=5^{1}=5\)

Step 4 :For \(x=2\), \(y=5^{2}=25\)

Step 5 :For \(x=3\), \(y=5^{3}=125\)

Step 6 :For \(x=4\), \(y=5^{4}=625\)

Step 7 :For \(x=5\), \(y=5^{5}=3125\)

Step 8 :\(\boxed{The missing output values for the table are 5, 25, 125, 625, 3125}\)

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