# How do you create an (x,y) table for y=\frac{3}{4} \cdot 6^{-x}?

Aug 3, 2018

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#### Explanation:

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Use the exponent rule: color(red)(a^(-b)=1/(a^b)

We can write color(blue)(6^(-x) as color(blue)(1/(6^x)

color(red)(6^x is an exponential function.

Now, we will work on

color(red)(y=f(x)=\frac{3}{4} \cdot 1/6^{x}

We need to create a data table for this function:

Choose a format appropriate to display fractions.

We will split the expression and use them in the columns.

We can display the table as color(red)(["x-y"] table, by choosing the first and the last column from the table above:

Hope it helps.