Which is the simplified form of n Superscript negative 6 p cubed?

StartFraction n Superscript 6 Over p cubed EndFraction
StartFraction 1 Over n Superscript 6 Baseline p cubed EndFraction
StartFraction p cubed Over n Superscript 6 EndFraction
n Superscript 6 Baseline p cubed

The simplified form of n Superscript negative 6 p cubed is StartFraction 1 Over n Superscript 6 Baseline p cubed EndFraction.

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 statements that are true based on the pattern are:

- The value of b is StartFraction 1 Over 36 EndFraction.
- As the exponents decrease, each previous value is divided by 6.
- If the table was extended, the value of 6 Superscript negative 3 would be StartFraction 1 Over 216 EndFraction.

The simplified form of n^(-6) * p^3 is represented as 1/(n^6 * p^3).