Question

Given the table values, Determine the base for the expoent function

Answer 1

To determine the value of the exponential function:

`y=a^x`

we use the first values from the table and plug them in the expression for the function:

`\begin{gathered} (1)/(81)=a^{-(1)/(2)} \\ (1)/(a^2)=(1)/(81) \\ a^2=81 \\ a=\sqrt[]{81} \\ a=9 \end{gathered}`

Therefore the base of the exponent function is 9