Tori examined the pattern of exponents in the table.
Accepted Solution
A:
Answer:The value of b = 1/36As exponent decreases, each previous value is divided by 6If the table was extended, the value of 6^-3 would be 1/216Step-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] = 1/6and[tex]6^{2} = 36[/tex]So,[tex]6^{-2} = \frac{1}{6^{2} }[/tex]= [tex]\frac{1}{36}[/tex]