(A): Given:
There are given the exponential function:
[tex]9^{2x}\cdot9^8[/tex]
Explanation:
To find the value for the given exponential function, we need to use the exponent rule:
Then,
From the exponent rule:
[tex]a^b\cdot a^c=a^{b+c}[/tex]
Then,
Apply the above rule to the given question:
[tex]9^{2x}\cdot9^8=9^{2x+8}[/tex]
Final answer:
Hence, the simplification of the given exponential function is shown below:
[tex]\begin{equation*} 9^{2x+8} \end{equation*}[/tex]
