Use Rational Exponents to Simplify $\sqrt [ 7 ] { 3 x ^ { 28 } }$

question 49

Multiple Choice

Use rational exponents to simplify. Write the answer in radical notation if appropriate.
- $\sqrt [ 7 ] { 3 x ^ { 28 } }$

• A) \(\sqrt [ 7 ] { 3 } x ^ { 4 }\)
• B) \(\sqrt [ 4 ] { 3 x }\)
• C) \(\sqrt [ 7 ] { 3 } x ^ { 7 }\)
• D) \(\sqrt [ 4 ] { 3 x ^ { 7 } }\)

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Definitions:

Tetrahedral Geometry

A configuration in which a central atom is encircled by four atoms located at the tetrahedron's corners.

Carbon Atoms

The fundamental building blocks of organic molecules, characterized by having four bonding sites to form covalent bonds.

Cocaine

Cocaine is a powerful stimulant drug, derived from the leaves of the coca plant, that acts on the central nervous system, increasing energy and euphoria but also potentially leading to addiction and health issues.

Tetrahedral Geometry

A molecular geometry where a central atom is located at the center with four substituents that are located at the corners of a tetrahedron.