Simplify
- $$\frac { a ^ { - 8 } + b ^ { - 3 } } { a ^ { - 4 } }$$

question 268

Multiple Choice

Simplify.
- $$\frac { a ^ { - 8 } + b ^ { - 3 } } { a ^ { - 4 } }$$

• A) \(\frac { b ^ { 3 } - a ^ { 8 } } { a ^ { 4 } b ^ { 3 } }\)
• B) \(\frac { b ^ { 3 } + a ^ { 8 } } { a ^ { 4 } b ^ { 3 } }\)
• C) \(\frac { b ^ { 3 } - a ^ { 8 } } { a ^ { 12 } b ^ { 3 } }\)
• D) \(a ^ { 4 } + b ^ { 3 }\)

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Definitions:

Reverse Fault

A type of fault where the hanging wall moves upward relative to the footwall, typically associated with compressional stress.

Strike-Slip Fault

A type of fault where two blocks of Earth's crust slide past each other horizontally, often causing earthquakes.

Oblique-Slip Faults

Faults that combine features of both strike-slip and dip-slip faults, moving both horizontally and vertically.

Normal Fault

A type of fault where the hanging wall moves downward relative to the footwall due to tensional forces.