Question

Tori examined the pattern of exponents in the table.

Answer 1

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

$6^{1} = 6$

so

$6^{-1} = \frac{1}{6^{1} }$

= 1/6

and

$6^{2} = 36$

So,

$6^{-2} = \frac{1}{6^{2} }$

= $\frac{1}{36}$