Tori examined the pattern of exponents in the table.

Powers of 6
Value
6 cubed
216
6 squared
36
6 Superscript 1
6
6 Superscript 0
1
6 Superscript negative 1
a
6 Superscript negative 2
b

Based on the pattern, which statements are true? Check all that apply.
The value of a is –6.
The value of b is StartFraction 1 Over 36 EndFraction.
As the exponents decrease, each previous value is divided by 6.
As the exponents increase, 6 is added to each previous value.
If the table was extended, the value of 6 Superscript negative 3 would be StartFraction 1 Over 216 EndFraction.

 The correct options are

(B) the value of b is

(C) As the value of the exponent decreases, each previous value is divided by 6.

Step-by-step explanation:  We are given that Tori examined the pattern of exponents in the following table :

We are to select the true statements based on the above pattern.

We will be using the following property of exponents :

Therefore, we get

and

Also, the value of the exponent is decreasing and we see that

So, each previous value is divided by 6.

Thus, the correct options are

(B) the value of b is

(C) As the value of the exponent decreases, each previous value is divided by 6.