We need to find the exponent of 10 of the equation :
[tex]\frac{9700}{10^x}=0.97[/tex]so,
[tex]\begin{gathered} 9700=0.97\cdot10^x \\ \\ 10^x=\frac{9700}{0.97}=10000=10^4 \\ \\ 10^x=10^4 \end{gathered}[/tex]so, x = 4
so, the value of the unknown exponent = 4