Simplify the Expression $\frac { 10 r ^ { - 5 } \left( r ^ { 3 } \right) ^ { 3 } } { 3 \left( r ^ { 2 } \right) ^ { - 2 } }$

question 69

Multiple Choice

Simplify the expression. Write the result using positive exponents only.
- $\frac { 10 r ^ { - 5 } \left( r ^ { 3 } \right) ^ { 3 } } { 3 \left( r ^ { 2 } \right) ^ { - 2 } }$

• A) \(\frac { 10 r ^ { 8 } } { 3 }\)
• B) \(\frac { 10 } { 3 r ^ { 1 } }\)
• C) \(\frac { 10 r ^ { 1 } } { 3 }\)
• D) \(\frac { 10 } { 3 r ^ { 8 } }\)

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Definitions:

Motor Proteins

Proteins that convert chemical energy into mechanical work, driving cellular movements such as muscle contraction and intracellular cargo transport.

Intermediate Filaments

A component of the cell cytoskeleton, providing mechanical support for cells and tissues and involved in cell adhesion, transport, and integrity.

Microtubules

Cylindrical structures within the cell that are part of the cytoskeleton, involved in maintaining cell shape, division, and intracellular transport.

Receptor Proteins

Proteins located on cell surfaces or within cells that bind specific molecules, triggering various cellular responses.