Question

Tori examined the pattern of exponents in the table.

Answer 1

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

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) = (1)/(6^(1) )`

= 1/6

and

`6^(2) = 36\\`

So,

`6^(-2) = (1)/(6^(2) )`

=
`(1)/(36)`