Simplify the Following Algebraic Expression and Express Your Answer Using $\left( u ^ { - 1 } v ^ { - 2 } \right) ^ { 4 }$

question 151

Multiple Choice

Simplify the following algebraic expression and express your answer using positive exponents only. $\left( u ^ { - 1 } v ^ { - 2 } \right) ^ { 4 }$

• A) \(u ^ { 4 } v ^ { 8 }\)
• B) \(\frac { 1 } { u ^ { 5 } v ^ { 6 } }\)
• C) \(\frac { 1 } { u ^ { 4 } v ^ { 8 } }\)
• D) \(u ^ { 5 } v ^ { 6 }\)
• E) \(\frac { 1 } { u ^ { 3 } v ^ { 2 } }\)

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Definitions:

Thin Lava Flows

Layers of lava that spread out over large areas and cool to form relatively thin sheets of rock.

Lava Fountain

A volcanic phenomenon in which molten lava is forcefully ejected into the air from a vent or crack in the Earth's surface.

Pyroclastic Flow

A rapid flow of hot gases and volcanic debris that descends along a volcano's slopes when there's a violent eruption.

Lava Dome

A roughly circular mound-shaped protrusion resulting from the slow extrusion of viscous lava from a volcano.