Answer:
The value of b = 1/36
As exponent decreases, each previous value is divided by 6
If the table was extended, the value of 6^-3 would be 1/216
Step-by-step explanation:
Given in the question a table containing power of 6
We will use negative rule of exponent to write the equivalent of negative power of 6
b^{-n}= 1 / b^{n}
we know that
[tex]6^{1} = 6[/tex]
so
[tex]6^{-1} = \frac{1}{6^{1} }[/tex]
= 1/6
and
[tex]6^{2} = 36\\[/tex]
So,
[tex]6^{-2} = \frac{1}{6^{2} }[/tex]
= [tex]\frac{1}{36}[/tex]
