Perform the Indicated Operations $\frac { \left( 3 x ^ { 3 } y ^ { 5 } \right) ^ { 6 } } { 9 x y ^ { 2 } }$

question 439

Multiple Choice

Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
- $\frac { \left( 3 x ^ { 3 } y ^ { 5 } \right) ^ { 6 } } { 9 x y ^ { 2 } }$

• A) \(81 x ^ { 8 } y ^ { 9 }\)
• B) \(81 x ^ { 17 } y ^ { 28 }\)
• C) \(\frac { x ^ { 17 } y ^ { 28 } } { 3 }\)
• D) \(\frac { x ^ { 8 } y ^ { 9 } } { 3 }\)

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Definitions:

Plate Tectonics

A scientific theory explaining the movement of the Earth's lithosphere, which is divided into tectonic plates, over the more fluid asthenosphere.

Asthenosphere

The highly viscous, mechanically weak, and ductilely-deforming region of the upper mantle of the Earth, which lies just below the lithosphere.

Plate Boundary

The region where two tectonic plates meet, which can be characterized by seismic activity, mountain building, and volcanic eruptions.

Divergent Plate Boundary

A boundary where tectonic plates are moving away from each other, often resulting in the creation of new crust as magma rises and solidifies.