Answer :
[tex]\frac{a^x}{a^2}=a^4[/tex]
Remember
when you have a division of two number with exponents,let the base and subtract the exponents
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]Step 1
[tex]\begin{gathered} \frac{a^x}{a^2}=a^4 \\ it\text{ is} \\ \frac{a^x}{a^2}=a^{x-2}=a^4 \end{gathered}[/tex]then
[tex]x-2=4[/tex]Step 2
solve for x
[tex]\begin{gathered} x-2=4 \\ \text{add 2 in both sides} \\ x-2+2=4+2 \\ x=6 \end{gathered}[/tex]therefore, the missing exponent is 6