Simplify the Expression $$\sqrt [ 3 ] { 64 \mathrm { k } ^ { 15 } }$$

question 369

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$\sqrt [ 3 ] { 64 \mathrm { k } ^ { 15 } }$$

• A) \(4 \mathrm { k } ^ { 18 }\)
• B) \(64 \mathrm { k } ^ { 5 }\)
• C) \(- 4 \mathrm { k } ^ { 5 }\)
• D) \(4 \mathrm { k } ^ { 5 }\)

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Definitions:

Benzenesulfonic Acid

An organosulfur compound with the formula C6H6SO3H; it's a strong acid used as a catalyst and in the production of detergents and synthetic resins.

Nitrobenzene

An organic compound constituted by a benzene ring bonded to a nitro group, used in the production of anilines.

Activator

A substance that increases the rate of a chemical reaction without being consumed, often by lowering the activation energy.

Major Organic Product

The primary product resulting from the majority pathway of an organic reaction.