Which is the simplified form of x Superscript negative 12?

x Superscript 12
Negative x Superscript 12
StartFraction 1 Over x Superscript 12 EndFraction
Negative StartFraction 1 Over x Superscript 12 EndFraction

StartFraction 1 Over x Superscript 12 EndFraction

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

StartFraction 1 Over n Superscript 6 Baseline p cubed EndFraction

What is the pattern in the values as the exponents increase?

Powers of 2
Value
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 3
StartFraction 1 Over 8 EndFraction
2 Superscript negative 2
One-fourth
2 Superscript negative 1
One-half
2 Superscript 0
1

add StartFraction 1 Over 16 EndFraction to the previous value
subtract StartFraction 1 Over 16 EndFraction from the previous value
divide the previous value by 2
multiply the previous value by 2

The pattern in the values as the exponents increase is as follows:

1. add StartFraction 1 Over 16 EndFraction to the previous value
2. subtract StartFraction 1 Over 16 EndFraction from the previous value
3. divide the previous value by 2
4. multiply the previous value by 2

This pattern is consistent with the powers of 2.

What is the quotient?

StartFraction (negative 7) squared Over (negative 7) Superscript negative 1 EndFraction
Negative 343
Negative 7
7
343

Negative 343