Simplify the Cube Root $$\sqrt [ 3 ] { \frac { 189 p ^ { 6 } } { 1,000 p ^ { 2 } q ^ { 9 } } }$$

question 53

Multiple Choice

Simplify the cube root. $$\sqrt [ 3 ] { \frac { 189 p ^ { 6 } } { 1,000 p ^ { 2 } q ^ { 9 } } }$$

• A) \(\frac { 10 p \sqrt [ 3 ] { 7 } } { 3 q }\)
• B) \(\frac { 3 p q \sqrt [ 3 ] { 7 } } { 10 }\)
• C) \(\frac { 3 p \sqrt [ 3 ] { 7 } } { 10 q }\)
• D) \(\frac { 3 q \sqrt [ 3 ] { 7 } } { 10 p }\)
• E) \(\frac { 3 \sqrt [ 3 ] { 7 } } { 10 p q }\)

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Definitions:

Covalent Bonds

Chemical bonds formed by the sharing of one or more pairs of electrons between atoms to achieve a more stable electron configuration.

Organic Molecule

Molecule that always contains carbon and hydrogen, and often contains oxygen as well; organic molecules are associated

Carbon Atom

A chemical element with symbol C and atomic number 6, fundamental to all known life, able to form stable bonds with many elements including itself.

Organic Molecules

Chemical compounds composed primarily of carbon atoms in rings or long chains, to which are attached other atoms such as hydrogen, oxygen, and nitrogen.